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2132989968 = 243312515711
BaseRepresentation
bin111111100100010…
…1101100000010000
312111122121010011110
41333020231200100
513332021134333
6551353213320
7103600054434
oct17710554020
95448533143
102132989968
119a5020a2a
124b6401240
1327cb9ba55
141633d69c4
15c73d2063
hex7f22d810

2132989968 has 80 divisors (see below), whose sum is σ = 5711634432. Its totient is φ = 685200000.

The previous prime is 2132989919. The next prime is 2132989973. The reversal of 2132989968 is 8699892312.

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, 370633 + ... + 376343.

Almost surely, 22132989968 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 2132989968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855817216).

2132989968 is an abundant number, since it is smaller than the sum of its proper divisors (3578644464).

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

2132989968 is a wasteful number, since it uses less digits than its factorization.

2132989968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5998 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The square root of 2132989968 is about 46184.3043468233. The cubic root of 2132989968 is about 1287.2501100217.

The spelling of 2132989968 in words is "two billion, one hundred thirty-two million, nine hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 251 372 496 502 744 753 1004 1488 1506 2008 3012 4016 5711 6024 7781 11422 12048 15562 17133 22844 23343 31124 34266 45688 46686 62248 68532 91376 93372 124496 137064 177041 186744 274128 354082 373488 531123 708164 1062246 1416328 1433461 2124492 2832656 2866922 4248984 4300383 5733844 8497968 8600766 11467688 17201532 22935376 34403064 44437291 68806128 88874582 133311873 177749164 266623746 355498328 533247492 710996656 1066494984 2132989968