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2716431072 = 253375571373
BaseRepresentation
bin1010000111101001…
…0111001011100000
321000022102222220020
42201322113023200
521030401243242
61125314313440
7124213166055
oct24172271340
97008388806
102716431072
111174399963
12639888880
13343a1a584
141baaad02c
1510d72d6ec
hexa1e972e0

2716431072 has 96 divisors (see below), whose sum is σ = 7341842592. Its totient is φ = 878782464.

The previous prime is 2716431059. The next prime is 2716431163. The reversal of 2716431072 is 2701346172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1977778 + ... + 1979150.

It is an arithmetic number, because the mean of its divisors is an integer number (76477527).

Almost surely, 22716431072 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 2716431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670921296).

2716431072 is an abundant number, since it is smaller than the sum of its proper divisors (4625411520).

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

2716431072 is a wasteful number, since it uses less digits than its factorization.

2716431072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2716431072 is about 52119.3924753541. The cubic root of 2716431072 is about 1395.2956164919.

The spelling of 2716431072 in words is "two billion, seven hundred sixteen million, four hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 557 592 888 1114 1184 1373 1671 1776 2228 2746 3342 3552 4119 4456 5492 6684 8238 8912 10984 13368 16476 17824 20609 21968 26736 32952 41218 43936 50801 53472 61827 65904 82436 101602 123654 131808 152403 164872 203204 247308 304806 329744 406408 494616 609612 659488 764761 812816 989232 1219224 1529522 1625632 1978464 2294283 2438448 3059044 4588566 4876896 6118088 9177132 12236176 18354264 24472352 28296157 36708528 56592314 73417056 84888471 113184628 169776942 226369256 339553884 452738512 679107768 905477024 1358215536 2716431072