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2351428512 = 25343836863
BaseRepresentation
bin1000110000100111…
…1111001110100000
320001212121221111220
42030021333032200
514303431203022
61025155135040
7112161545466
oct21411771640
96055557456
102351428512
11aa7358054
125575a4480
132b6210824
14184418836
15db67e85c
hex8c27f3a0

2351428512 has 96 divisors (see below), whose sum is σ = 6393074688. Its totient is φ = 756247296.

The previous prime is 2351428501. The next prime is 2351428531. The reversal of 2351428512 is 2158241532.

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

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, 339193 + ... + 346055.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 22351428512 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 2351428512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196537344).

2351428512 is an abundant number, since it is smaller than the sum of its proper divisors (4041646176).

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

2351428512 is a wasteful number, since it uses less digits than its factorization.

2351428512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6994 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 2351428512 is about 48491.5303120040. The cubic root of 2351428512 is about 1329.7722322758.

The spelling of 2351428512 in words is "two billion, three hundred fifty-one million, four hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 83 86 96 129 166 172 249 258 332 344 498 516 664 688 996 1032 1328 1376 1992 2064 2656 3569 3984 4128 6863 7138 7968 10707 13726 14276 20589 21414 27452 28552 41178 42828 54904 57104 82356 85656 109808 114208 164712 171312 219616 295109 329424 342624 569629 590218 658848 885327 1139258 1180436 1708887 1770654 2278516 2360872 3417774 3541308 4557032 4721744 6835548 7082616 9114064 9443488 13671096 14165232 18228128 24494047 27342192 28330464 48988094 54684384 73482141 97976188 146964282 195952376 293928564 391904752 587857128 783809504 1175714256 2351428512