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9938716120424 = 2371313652082583
BaseRepresentation
bin1001000010100000100110…
…1001001101010101101000
31022012010120012210121101202
42100220021221031111220
52300313442311323144
633045441054503332
72044022436066410
oct220501151152550
938163505717352
109938716120424
113191a9316a263
121146233b04b48
135712a87189a0
14265071d53640
151237deb3664e
hex90a09a4d568

9938716120424 has 32 divisors (see below), whose sum is σ = 22935498741120. Its totient is φ = 3931799783616.

The previous prime is 9938716120379. The next prime is 9938716120433. The reversal of 9938716120424 is 4240216178399.

It is a happy number.

It is a super-3 number, since 3×99387161204243 (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 9938716120424.

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 7 ways as a sum of consecutive naturals, for example, 6826040564 + ... + 6826042019.

It is an arithmetic number, because the mean of its divisors is an integer number (716734335660).

Almost surely, 29938716120424 is an apocalyptic number.

It is an amenable number.

9938716120424 is an abundant number, since it is smaller than the sum of its proper divisors (12996782620696).

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

9938716120424 is a wasteful number, since it uses less digits than its factorization.

9938716120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652082609 (or 13652082605 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 9938716120424 in words is "nine trillion, nine hundred thirty-eight billion, seven hundred sixteen million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 13652082583 27304165166 54608330332 95564578081 109216660664 177477073579 191129156162 354954147158 382258312324 709908294316 764516624648 1242339515053 1419816588632 2484679030106 4969358060212 9938716120424