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74007937936 = 2423229572
BaseRepresentation
bin100010011101100110…
…1111000001110010000
321002000201222210010101
41010323031320032100
52203032013003221
653555422542144
75226662043622
oct1047315701620
9232021883111
1074007937936
1129428608179
1212415137954
136c958b816a
143821034c12
151dd2402d91
hex113b378390

74007937936 has 45 divisors (see below), whose sum is σ = 149946512401. Its totient is φ = 35383130816.

The previous prime is 74007937909. The next prime is 74007937957. The reversal of 74007937936 is 63973970047.

It is a happy number.

The square root of 74007937936 is 272044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13759290000 + 60248647936 = 117300^2 + 245456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25026570 + ... + 25029526.

Almost surely, 274007937936 is an apocalyptic number.

74007937936 is the 272044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74007937936

74007937936 is an abundant number, since it is smaller than the sum of its proper divisors (75938574465).

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

74007937936 is an frugal number, since it uses more digits than its factorization.

74007937936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 55.

The spelling of 74007937936 in words is "seventy-four billion, seven million, nine hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 2957 4232 5914 8464 11828 23656 47312 68011 136022 272044 544088 1088176 1564253 3128506 6257012 8743849 12514024 17487698 25028048 34975396 69950792 139901584 201108527 402217054 804434108 1608868216 3217736432 4625496121 9250992242 18501984484 37003968968 74007937936