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38485558702080 = 2123357172359431
BaseRepresentation
bin10001100000000100111100…
…00011100011000000000000
312001021011221202102221002000
420300002132003203000000
520021021411011431310
6213504004355224000
711051330010312540
oct1060023603430000
9161234852387060
1038485558702080
11112986a7630926
1243969138a8000
131862232301479
149709d4d01320
1546b16eb1e4c0
hex23009e0e3000

38485558702080 has 3328 divisors, whose sum is σ = 176099003596800. Its totient is φ = 7766991175680.

The previous prime is 38485558702049. The next prime is 38485558702091. The reversal of 38485558702080 is 8020785558483.

It is a happy number.

38485558702080 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 5 + 558 + 70 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×384855587020802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38485558701999 and 38485558702017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89293639465 + ... + 89293639895.

Almost surely, 238485558702080 is an apocalyptic number.

38485558702080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38485558702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88049501798400).

38485558702080 is an abundant number, since it is smaller than the sum of its proper divisors (137613444894720).

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

38485558702080 is a wasteful number, since it uses less digits than its factorization.

38485558702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 38485558702080 in words is "thirty-eight trillion, four hundred eighty-five billion, five hundred fifty-eight million, seven hundred two thousand, eighty".