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10625483988 = 22337231239271
BaseRepresentation
bin10011110010101010…
…00000010011010100
31000102111201111212000
421321111000103110
5133230110441423
64514204555300
7524211060300
oct117125002324
930374644760
1010625483988
114562899429
122086552b30
131004469642
1472b260d00
15422c61843
hex2795404d4

10625483988 has 288 divisors, whose sum is σ = 33339801600. Its totient is φ = 2914833600.

The previous prime is 10625483987. The next prime is 10625484013. The reversal of 10625483988 is 88938452601.

10625483988 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 548 + 3 + 98 + 8 = 666.

It is a super-2 number, since 2×106254839882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625483987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39208293 + ... + 39208563.

It is an arithmetic number, because the mean of its divisors is an integer number (115763200).

Almost surely, 210625483988 is an apocalyptic number.

10625483988 is a gapful number since it is divisible by the number (18) 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 10625483988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669900800).

10625483988 is an abundant number, since it is smaller than the sum of its proper divisors (22714317612).

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

10625483988 is a wasteful number, since it uses less digits than its factorization.

10625483988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10625483988 in words is "ten billion, six hundred twenty-five million, four hundred eighty-three thousand, nine hundred eighty-eight".