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10074405880 = 23572113773173
BaseRepresentation
bin10010110000111101…
…10011101111111000
3222000002202211210201
421120132303233320
5131113021442010
64343401251544
7504440015500
oct113036635770
928002684721
1010074405880
1142aa815280
121b51a93bb4
13c4723c516
146b7db0a00
153de6a923a
hex2587b3bf8

10074405880 has 384 divisors, whose sum is σ = 30120569280. Its totient is φ = 2995937280.

The previous prime is 10074405877. The next prime is 10074405907. The reversal of 10074405880 is 8850447001.

It is a super-3 number, since 3×100744058803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58233474 + ... + 58233646.

Almost surely, 210074405880 is an apocalyptic number.

10074405880 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 10074405880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060284640).

10074405880 is an abundant number, since it is smaller than the sum of its proper divisors (20046163400).

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

10074405880 is a wasteful number, since it uses less digits than its factorization.

10074405880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 10074405880 in words is "ten billion, seventy-four million, four hundred five thousand, eight hundred eighty".