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2131148976 = 243119741611
BaseRepresentation
bin111111100000110…
…1100000010110000
312111112010120210120
41333001230002300
513331033231401
6551245530240
7103545316215
oct17701540260
95445116716
102131148976
119a3a83850
124b5873980
1327c6a5ac8
14163077b0c
15c716b836
hex7f06c0b0

2131148976 has 80 divisors (see below), whose sum is σ = 6068028288. Its totient is φ = 639129600.

The previous prime is 2131148969. The next prime is 2131149011. The reversal of 2131148976 is 6798411312.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30411 + ... + 72021.

Almost surely, 22131148976 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 2131148976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034014144).

2131148976 is an abundant number, since it is smaller than the sum of its proper divisors (3936879312).

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

2131148976 is a wasteful number, since it uses less digits than its factorization.

2131148976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41730 (or 41724 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 2131148976 is about 46164.3691173182. The cubic root of 2131148976 is about 1286.8796598841.

The spelling of 2131148976 in words is "two billion, one hundred thirty-one million, one hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 2134 2328 3201 4268 4656 6402 8536 12804 17072 25608 41611 51216 83222 124833 166444 249666 332888 457721 499332 665776 915442 998664 1373163 1830884 1997328 2746326 3661768 4036267 5492652 7323536 8072534 10985304 12108801 16145068 21970608 24217602 32290136 44398937 48435204 64580272 88797874 96870408 133196811 177595748 193740816 266393622 355191496 532787244 710382992 1065574488 2131148976