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2142912696 = 2331731169427
BaseRepresentation
bin111111110111010…
…0100000010111000
312112100021020120220
41333232210002320
513342041201241
6552350020040
7104050312611
oct17756440270
95470236526
102142912696
119aa689031
124b97a7620
13281c643a2
1416485ac08
15c81e2166
hex7fba40b8

2142912696 has 64 divisors (see below), whose sum is σ = 5855431680. Its totient is φ = 650595840.

The previous prime is 2142912671. The next prime is 2142912703. The reversal of 2142912696 is 6962192412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72066 + ... + 97361.

It is an arithmetic number, because the mean of its divisors is an integer number (91491120).

Almost surely, 22142912696 is an apocalyptic number.

It is an amenable number.

2142912696 is an abundant number, since it is smaller than the sum of its proper divisors (3712518984).

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

2142912696 is a wasteful number, since it uses less digits than its factorization.

2142912696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169484 (or 169480 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2142912696 is about 46291.6050272617. The cubic root of 2142912696 is about 1289.2431303202.

The spelling of 2142912696 in words is "two billion, one hundred forty-two million, nine hundred twelve thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 169427 338854 508281 677708 1016562 1355416 2033124 2880259 4066248 5252237 5760518 8640777 10504474 11521036 15756711 17281554 21008948 23042072 31513422 34563108 42017896 63026844 69126216 89288029 126053688 178576058 267864087 357152116 535728174 714304232 1071456348 2142912696