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2137851008 = 27671092287
BaseRepresentation
bin111111101101101…
…0000010010000000
312111222202002020222
41333123100102000
513334242213013
6552045322212
7103656301526
oct17733202200
95458662228
102137851008
119a7841117
124b7b66368
13280bb14c7
14163d00316
15c7a42508
hex7f6d0480

2137851008 has 64 divisors (see below), whose sum is σ = 4364131200. Its totient is φ = 1042854912.

The previous prime is 2137851007. The next prime is 2137851011. The reversal of 2137851008 is 8001587312.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2137851007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933641 + ... + 935927.

It is an arithmetic number, because the mean of its divisors is an integer number (68189550).

Almost surely, 22137851008 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 2137851008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182065600).

2137851008 is an abundant number, since it is smaller than the sum of its proper divisors (2226280192).

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

2137851008 is a wasteful number, since it uses less digits than its factorization.

2137851008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 2137851008 is about 46236.9009342105. The cubic root of 2137851008 is about 1288.2272402321.

The spelling of 2137851008 in words is "two billion, one hundred thirty-seven million, eight hundred fifty-one thousand, eight".

Divisors: 1 2 4 8 16 32 64 67 109 128 134 218 268 436 536 872 1072 1744 2144 2287 3488 4288 4574 6976 7303 8576 9148 13952 14606 18296 29212 36592 58424 73184 116848 146368 153229 233696 249283 292736 306458 467392 498566 612916 934784 997132 1225832 1994264 2451664 3988528 4903328 7977056 9806656 15954112 16701961 19613312 31908224 33403922 66807844 133615688 267231376 534462752 1068925504 2137851008