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217713380315490 = 232510922193005129
BaseRepresentation
bin110001100000001001011000…
…101100100101000101100010
31001112212012021210202010202100
4301200021120230211011202
5212014004000330043430
62051012051324031230
763600162343612113
oct6140113054450542
91045765253663670
10217713380315490
11634087a9459384
122050238a692516
13946338c2c02a7
143ba955333820a
151a283582b1960
hexc60258b25162

217713380315490 has 48 divisors (see below), whose sum is σ = 571247952046200. Its totient is φ = 57524269291776.

The previous prime is 217713380315489. The next prime is 217713380315609. The reversal of 217713380315490 is 94513083317712.

217713380315490 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 13 + 3 + 80 + 3 + 1 + 549 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197688014864649 + 20025365450841 = 14060157^2 + 4474971^2 .

It is a super-2 number, since 2×2177133803154902 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11096492755 + ... + 11096512374.

Almost surely, 2217713380315490 is an apocalyptic number.

217713380315490 is an abundant number, since it is smaller than the sum of its proper divisors (353534571730710).

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

217713380315490 is a wasteful number, since it uses less digits than its factorization.

217713380315490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22193005251 (or 22193005248 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 217713380315490 in words is "two hundred seventeen trillion, seven hundred thirteen billion, three hundred eighty million, three hundred fifteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 22193005129 44386010258 66579015387 110965025645 133158030774 199737046161 221930051290 332895076935 399474092322 665790153870 998685230805 1997370461610 2419037559061 4838075118122 7257112677183 12095187795305 14514225354366 21771338031549 24190375590610 36285563385915 43542676063098 72571126771830 108856690157745 217713380315490