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10879274252 = 22711232952957
BaseRepresentation
bin10100010000111010…
…01000110100001100
31001002012021101122102
422020131020310030
5134240043234002
64555312334232
7533412206510
oct121035106414
931065241572
1010879274252
114683080850
122137544378
131044c082b2
14752c46140
1543a193a02
hex288748d0c

10879274252 has 96 divisors (see below), whose sum is σ = 25623198720. Its totient is φ = 3914507520.

The previous prime is 10879274251. The next prime is 10879274291. The reversal of 10879274252 is 25247297801.

It is a junction number, because it is equal to n+sod(n) for n = 10879274197 and 10879274206.

It is not an unprimeable number, because it can be changed into a prime (10879274251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178958 + ... + 231914.

It is an arithmetic number, because the mean of its divisors is an integer number (266908320).

Almost surely, 210879274252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10879274252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811599360).

10879274252 is an abundant number, since it is smaller than the sum of its proper divisors (14743924468).

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

10879274252 is a wasteful number, since it uses less digits than its factorization.

10879274252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53031 (or 53029 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 10879274252 in words is "ten billion, eight hundred seventy-nine million, two hundred seventy-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 29 44 46 58 77 92 116 154 161 203 253 308 319 322 406 506 638 644 667 812 1012 1276 1334 1771 2233 2668 3542 4466 4669 7084 7337 8932 9338 14674 18676 29348 51359 52957 102718 105914 205436 211828 370699 582527 741398 1165054 1218011 1482796 1535753 2330108 2436022 3071506 4077689 4872044 6143012 8155378 8526077 10750271 13398121 16310756 16893283 17052154 21500542 26796242 33786566 34104308 35322319 43001084 53592484 67573132 70644638 93786847 118252981 141289276 187573694 236505962 247256233 375147388 388545509 473011924 494512466 777091018 989024932 1554182036 2719818563 5439637126 10879274252