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89192295368 = 231122923312
BaseRepresentation
bin101001100010001000…
…1100110101111001000
322112012222001001122222
41103010101212233020
52430131211422433
6104550244233212
76305161000361
oct1230421465710
9275188031588
1089192295368
113490a7a8700
121535239b808
1385456a2547
144461928b68
1524c04d1b98
hex14c4466bc8

89192295368 has 108 divisors (see below), whose sum is σ = 190955021985. Its totient is φ = 39025694400.

The previous prime is 89192295347. The next prime is 89192295391. The reversal of 89192295368 is 86359229198.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 89139267844 + 53027524 = 298562^2 + 7282^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=211178.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89192295368.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269462963 + ... + 269463293.

Almost surely, 289192295368 is an apocalyptic number.

89192295368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89192295368

89192295368 is an abundant number, since it is smaller than the sum of its proper divisors (101762726617).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89192295368 is a wasteful number, since it uses less digits than its factorization.

89192295368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 373 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 62.

The spelling of 89192295368 in words is "eighty-nine billion, one hundred ninety-two million, two hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 331 484 638 662 841 968 1276 1324 1682 2552 2648 3364 3509 3641 6728 7018 7282 9251 9599 14036 14564 18502 19198 28072 29128 37004 38396 40051 74008 76792 80102 101761 105589 109561 160204 203522 211178 219122 278371 320408 407044 422356 438244 556742 814088 844712 876488 1113484 1161479 1205171 2226968 2322958 2410342 3062081 3177269 4645916 4820684 6124162 6354538 9291832 9641368 12248324 12709076 13256881 24496648 25418152 26513762 33682891 34949959 53027524 67365782 69899918 92140801 106055048 134731564 139799836 184281602 269463128 279599672 368563204 384449549 737126408 768899098 1013548811 1537798196 2027097622 3075596392 4054195244 8108390488 11149036921 22298073842 44596147684 89192295368