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10069740288 = 2833172712
BaseRepresentation
bin10010110000011010…
…00000101100000000
3221222202222210211000
421120031000230000
5131110323142123
64343113252000
7504352244256
oct113015005400
927882883730
1010069740288
1142a8118a13
121b50404000
13c46297a0a
146b75185d6
153de086b43
hex258340b00

10069740288 has 324 divisors, whose sum is σ = 32084484040. Its totient is φ = 3114639360.

The previous prime is 10069740253. The next prime is 10069740313. The reversal of 10069740288 is 88204796001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10069740288 is a `hidden beast` number, since 100 + 69 + 7 + 402 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141827293 + ... + 141827363.

Almost surely, 210069740288 is an apocalyptic number.

10069740288 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 10069740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042242020).

10069740288 is an abundant number, since it is smaller than the sum of its proper divisors (22014743752).

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

10069740288 is an frugal number, since it uses more digits than its factorization.

10069740288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10069740288 in words is "ten billion, sixty-nine million, seven hundred forty thousand, two hundred eighty-eight".