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69931428192 = 2533461175573
BaseRepresentation
bin100000100100000111…
…1001110100101100000
320200111122022122001000
41001020033032211200
52121204421200232
652043121112000
75023652221563
oct1011017164540
9220448278030
1069931428192
112772651705a
1211677a88600
136796188c12
1435558864da
151c445b827c
hex10483ce960

69931428192 has 96 divisors (see below), whose sum is σ = 204410273760. Its totient is φ = 23259778560.

The previous prime is 69931428187. The next prime is 69931428199. The reversal of 69931428192 is 29182413996.

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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69931428199) 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, 310518 + ... + 486090.

It is an arithmetic number, because the mean of its divisors is an integer number (2129273685).

Almost surely, 269931428192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69931428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102205136880).

69931428192 is an abundant number, since it is smaller than the sum of its proper divisors (134478845568).

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

69931428192 is a wasteful number, since it uses less digits than its factorization.

69931428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176053 (or 176039 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 69931428192 in words is "sixty-nine billion, nine hundred thirty-one million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 461 864 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 12447 14752 16596 22128 24894 33192 44256 49788 66384 99576 132768 175573 199152 351146 398304 526719 702292 1053438 1404584 1580157 2106876 2809168 3160314 4213752 4740471 5618336 6320628 8427504 9480942 12641256 16855008 18961884 25282512 37923768 50565024 75847536 80939153 151695072 161878306 242817459 323756612 485634918 647513224 728452377 971269836 1295026448 1456904754 1942539672 2185357131 2590052896 2913809508 3885079344 4370714262 5827619016 7770158688 8741428524 11655238032 17482857048 23310476064 34965714096 69931428192