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10068432840 = 233556471601
BaseRepresentation
bin10010110000010000…
…00001011111001000
3221222200112101100000
421120020001133020
5131110004322330
64343025243000
7504335160414
oct113010013710
927880471300
1010068432840
1142a7405684
121b4ba93460
13c45c2a88b
146b7297d44
153dddc9560
hex2582017c8

10068432840 has 192 divisors, whose sum is σ = 34008024960. Its totient is φ = 2679091200.

The previous prime is 10068432793. The next prime is 10068432863. The reversal of 10068432840 is 4823486001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10068432795 and 10068432804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6288040 + ... + 6289640.

It is an arithmetic number, because the mean of its divisors is an integer number (177125130).

Almost surely, 210068432840 is an apocalyptic number.

10068432840 is a gapful number since it is divisible by the number (10) 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 10068432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004012480).

10068432840 is an abundant number, since it is smaller than the sum of its proper divisors (23939592120).

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

10068432840 is a wasteful number, since it uses less digits than its factorization.

10068432840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10068432840 in words is "ten billion, sixty-eight million, four hundred thirty-two thousand, eight hundred forty".