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2921146880 = 2951378329
BaseRepresentation
bin1010111000011101…
…0010101000000000
321112120122122012012
42232013102220000
521440303200010
61201510152052
7132250224131
oct25607225000
97476578165
102921146880
111269a02983
12696352628
133772661a2
141d9d5bc88
151216ba005
hexae1d2a00

2921146880 has 80 divisors (see below), whose sum is σ = 7055876520. Its totient is φ = 1159790592.

The previous prime is 2921146871. The next prime is 2921146913. The reversal of 2921146880 is 886411292.

It can be written as a sum of positive squares in 4 ways, for example, as 1898170624 + 1022976256 = 43568^2 + 31984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346556 + ... + 354884.

Almost surely, 22921146880 is an apocalyptic number.

2921146880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2921146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527938260).

2921146880 is an abundant number, since it is smaller than the sum of its proper divisors (4134729640).

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

2921146880 is an equidigital number, since it uses as much as digits as its factorization.

2921146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2921146880 is about 54047.6352859216. The cubic root of 2921146880 is about 1429.5010044385.

The spelling of 2921146880 in words is "two billion, nine hundred twenty-one million, one hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 320 512 548 640 685 1096 1280 1370 2192 2560 2740 4384 5480 8329 8768 10960 16658 17536 21920 33316 35072 41645 43840 66632 70144 83290 87680 133264 166580 175360 266528 333160 350720 533056 666320 1066112 1141073 1332640 2132224 2282146 2665280 4264448 4564292 5330560 5705365 9128584 10661120 11410730 18257168 21322240 22821460 36514336 45642920 73028672 91285840 146057344 182571680 292114688 365143360 584229376 730286720 1460573440 2921146880