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2157149728 = 25372411201
BaseRepresentation
bin1000000010010011…
…0111111000100000
312120100001120010101
42000210313320200
513404212242403
6554015112144
7104312320156
oct20044677040
95510046111
102157149728
11a07722578
12502512654
13284baa676
141666c53d6
15c95a571d
hex80937e20

2157149728 has 72 divisors (see below), whose sum is σ = 4474952244. Its totient is φ = 1022976000.

The previous prime is 2157149723. The next prime is 2157149749. The reversal of 2157149728 is 8279417512.

It can be written as a sum of positive squares in 6 ways, for example, as 660078864 + 1497070864 = 25692^2 + 38692^2 .

It is not an unprimeable number, because it can be changed into a prime (2157149723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795528 + ... + 1796728.

Almost surely, 22157149728 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 2157149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237476122).

2157149728 is an abundant number, since it is smaller than the sum of its proper divisors (2317802516).

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

2157149728 is a wasteful number, since it uses less digits than its factorization.

2157149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1281 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 2157149728 is about 46445.1259875565. The cubic root of 2157149728 is about 1292.0919781030.

The spelling of 2157149728 in words is "two billion, one hundred fifty-seven million, one hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1201 1312 1369 1517 2402 2738 3034 4804 5476 6068 9608 10952 12136 19216 21904 24272 38432 43808 44437 48544 49241 56129 88874 98482 112258 177748 196964 224516 355496 393928 449032 710992 787856 898064 1421984 1575712 1644169 1796128 1821917 3288338 3643834 6576676 7287668 13153352 14575336 26306704 29150672 52613408 58301344 67410929 134821858 269643716 539287432 1078574864 2157149728