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2920332864 = 26326956543
BaseRepresentation
bin1010111000010000…
…1011111001000000
321112112010021120110
42232010023321000
521440101122424
61201440511320
7132240263661
oct25604137100
97475107513
102920332864
1112694a7339
1269601b540
1337703c817
141d9bc9368
151215a8c29
hexae10be40

2920332864 has 56 divisors (see below), whose sum is σ = 7755575040. Its totient is φ = 969808384.

The previous prime is 2920332859. The next prime is 2920332907. The reversal of 2920332864 is 4682330292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23377 + ... + 79919.

Almost surely, 22920332864 is an apocalyptic number.

2920332864 is a gapful number since it is divisible by the number (24) 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 2920332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

2920332864 is an abundant number, since it is smaller than the sum of its proper divisors (4835242176).

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

2920332864 is a wasteful number, since it uses less digits than its factorization.

2920332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56827 (or 56817 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2920332864 is about 54040.1042189965. The cubic root of 2920332864 is about 1429.3682090170.

The spelling of 2920332864 in words is "two billion, nine hundred twenty million, three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 17216 25824 51648 56543 113086 169629 226172 339258 452344 678516 904688 1357032 1809376 2714064 3618752 5428128 10856256 15210067 30420134 45630201 60840268 91260402 121680536 182520804 243361072 365041608 486722144 730083216 973444288 1460166432 2920332864