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938116973970 = 23351117313797167
BaseRepresentation
bin11011010011011000010…
…00010000010110010010
310022200102222120222122000
431221230020100112102
5110332230421131340
61554544234254430
7124530261465351
oct15515410202622
93280388528560
10938116973970
11331942636580
12131991587416
136a60569ba87
1433595867998
1519608a59d30
hexda6c210592

938116973970 has 1024 divisors, whose sum is σ = 3113545236480. Its totient is φ = 198269337600.

The previous prime is 938116973921. The next prime is 938116973993. The reversal of 938116973970 is 79379611839.

938116973970 is a `hidden beast` number, since 9 + 3 + 81 + 169 + 7 + 397 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 938116973898 and 938116973907.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5617466827 + ... + 5617466993.

It is an arithmetic number, because the mean of its divisors is an integer number (3040571520).

Almost surely, 2938116973970 is an apocalyptic number.

938116973970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 938116973970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556772618240).

938116973970 is an abundant number, since it is smaller than the sum of its proper divisors (2175428262510).

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

938116973970 is a wasteful number, since it uses less digits than its factorization.

938116973970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 938116973970 in words is "nine hundred thirty-eight billion, one hundred sixteen million, nine hundred seventy-three thousand, nine hundred seventy".