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938669806368 = 25347265719471
BaseRepresentation
bin11011010100011010001…
…01001001001100100000
310022201212111211210010000
431222031011021030200
5110334343432300433
61555115143340000
7124550053464540
oct15521505111440
93281774753100
10938669806368
113320a66a8758
12131b06751600
136a693091538
1433609053320
151963c35c113
hexda8d149320

938669806368 has 240 divisors, whose sum is σ = 3156323030784. Its totient is φ = 268076666880.

The previous prime is 938669806367. The next prime is 938669806369. The reversal of 938669806368 is 863608966839.

It is an interprime number because it is at equal distance from previous prime (938669806367) and next prime (938669806369).

It is a super-2 number, since 2×9386698063682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 938669806296 and 938669806305.

It is not an unprimeable number, because it can be changed into a prime (938669806367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48198873 + ... + 48218343.

Almost surely, 2938669806368 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 938669806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578161515392).

938669806368 is an abundant number, since it is smaller than the sum of its proper divisors (2217653224416).

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

938669806368 is a wasteful number, since it uses less digits than its factorization.

938669806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22157 (or 22140 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 938669806368 in words is "nine hundred thirty-eight billion, six hundred sixty-nine million, eight hundred six thousand, three hundred sixty-eight".