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84192000672 = 25313431568873
BaseRepresentation
bin100111001101000111…
…0111111101010100000
322001022111002202212010
41032122032333222200
52334411123010142
6102402142432520
76040233124623
oct1163216775240
9261274082763
1084192000672
113278420a24a
1214397892740
137c2976c7a0
1441097cbdba
1522cb51ce9c
hex139a3bfaa0

84192000672 has 96 divisors (see below), whose sum is σ = 243539448768. Its totient is φ = 25302767616.

The previous prime is 84192000667. The next prime is 84192000677. The reversal of 84192000672 is 27600029148.

It is an interprime number because it is at equal distance from previous prime (84192000667) and next prime (84192000677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84192000672.

It is not an unprimeable number, because it can be changed into a prime (84192000677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730773 + ... + 838100.

It is an arithmetic number, because the mean of its divisors is an integer number (2536869258).

Almost surely, 284192000672 is an apocalyptic number.

It is an amenable number.

84192000672 is an abundant number, since it is smaller than the sum of its proper divisors (159347448096).

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

84192000672 is a wasteful number, since it uses less digits than its factorization.

84192000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568942 (or 1568934 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 84192000672 in words is "eighty-four billion, one hundred ninety-two million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 26832 53664 1568873 3137746 4706619 6275492 9413238 12550984 18826476 20395349 25101968 37652952 40790698 50203936 61186047 67461539 75305904 81581396 122372094 134923078 150611808 163162792 202384617 244744188 269846156 326325584 404769234 489488376 539692312 652651168 809538468 877000007 978976752 1079384624 1619076936 1754000014 1957953504 2158769248 2631000021 3238153872 3508000028 5262000042 6476307744 7016000056 10524000084 14032000112 21048000168 28064000224 42096000336 84192000672