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10070933124 = 2237297356633
BaseRepresentation
bin10010110000100011…
…00011111010000100
3221222212020102002010
421120101203322010
5131111124324444
64343155014220
7504365343030
oct113021437204
927885212063
1010070933124
1142a886312a
121b5089a370
13c465c4935
146b77491c0
153de2202b9
hex258463e84

10070933124 has 96 divisors (see below), whose sum is σ = 28162955520. Its totient is φ = 2740082688.

The previous prime is 10070933113. The next prime is 10070933143. The reversal of 10070933124 is 42133907001.

It is a junction number, because it is equal to n+sod(n) for n = 10070933091 and 10070933100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149512 + ... + 206144.

It is an arithmetic number, because the mean of its divisors is an integer number (293364120).

Almost surely, 210070933124 is an apocalyptic number.

10070933124 is a gapful number since it is divisible by the number (14) 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 10070933124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081477760).

10070933124 is an abundant number, since it is smaller than the sum of its proper divisors (18092022396).

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

10070933124 is a wasteful number, since it uses less digits than its factorization.

10070933124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56749 (or 56747 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 10070933124 in words is "ten billion, seventy million, nine hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 73 84 87 116 146 174 203 219 292 348 406 438 511 609 812 876 1022 1218 1533 2044 2117 2436 3066 4234 6132 6351 8468 12702 14819 25404 29638 44457 56633 59276 88914 113266 169899 177828 226532 339798 396431 679596 792862 1189293 1585724 1642357 2378586 3284714 4134209 4757172 4927071 6569428 8268418 9854142 11496499 12402627 16536836 19708284 22992998 24805254 28939463 34489497 45985996 49610508 57878926 68978994 86818389 115757852 119892061 137957988 173636778 239784122 347273556 359676183 479568244 719352366 839244427 1438704732 1678488854 2517733281 3356977708 5035466562 10070933124