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2159504128 = 28191133929
BaseRepresentation
bin1000000010110111…
…0110101100000000
312120111111011202101
42000231312230000
513410313113003
6554141400144
7104341324255
oct20055665400
95514434671
102159504128
11a08a90461
12503269054
132855231c2
14166b3942c
15c98bd11d
hex80b76b00

2159504128 has 72 divisors (see below), whose sum is σ = 4578764400. Its totient is φ = 1013612544.

The previous prime is 2159504089. The next prime is 2159504131. The reversal of 2159504128 is 8214059512.

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, 547668 + ... + 551596.

It is an arithmetic number, because the mean of its divisors is an integer number (63593950).

Almost surely, 22159504128 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 2159504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289382200).

2159504128 is an abundant number, since it is smaller than the sum of its proper divisors (2419260272).

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

2159504128 is a wasteful number, since it uses less digits than its factorization.

2159504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 2159504128 is about 46470.4651149523. The cubic root of 2159504128 is about 1292.5618875746.

The spelling of 2159504128 in words is "two billion, one hundred fifty-nine million, five hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 226 256 304 452 608 904 1216 1808 2147 2432 3616 3929 4294 4864 7232 7858 8588 14464 15716 17176 28928 31432 34352 62864 68704 74651 125728 137408 149302 251456 274816 298604 443977 502912 549632 597208 887954 1005824 1194416 1775908 2388832 3551816 4777664 7103632 8435563 9555328 14207264 16871126 19110656 28414528 33742252 56829056 67484504 113658112 134969008 269938016 539876032 1079752064 2159504128