Search a number
-
+
15730913792 = 29112318191
BaseRepresentation
bin11101010011010001…
…01011001000000000
31111121022111012220202
432221220223020000
5224204103220132
611120544024332
71064553363266
oct165150531000
944538435822
1015730913792
116742766400
1230703020a8
1316390c0319
14a93328436
15621091762
hex3a9a2b200

15730913792 has 120 divisors (see below), whose sum is σ = 35667050496. Its totient is φ = 6918912000.

The previous prime is 15730913791. The next prime is 15730913819. The reversal of 15730913792 is 29731903751.

It is not an unprimeable number, because it can be changed into a prime (15730913791) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1916417 + ... + 1924607.

Almost surely, 215730913792 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 15730913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833525248).

15730913792 is an abundant number, since it is smaller than the sum of its proper divisors (19936136704).

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

15730913792 is an equidigital number, since it uses as much as digits as its factorization.

15730913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 47.

The spelling of 15730913792 in words is "fifteen billion, seven hundred thirty million, nine hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 242 248 256 341 352 484 496 512 682 704 968 992 1364 1408 1936 1984 2728 2816 3751 3872 3968 5456 5632 7502 7744 7936 8191 10912 15004 15488 15872 16382 21824 30008 30976 32764 43648 60016 61952 65528 87296 90101 120032 131056 174592 180202 240064 253921 262112 360404 480128 507842 524224 720808 960256 991111 1015684 1048448 1441616 1920512 1982222 2031368 2096896 2793131 2883232 3964444 4062736 4193792 5586262 5766464 7928888 8125472 11172524 11532928 15857776 16250944 22345048 23065856 30724441 31715552 32501888 44690096 46131712 61448882 63431104 65003776 89380192 122897764 126862208 130007552 178760384 245795528 253724416 357520768 491591056 507448832 715041536 983182112 1430083072 1966364224 3932728448 7865456896 15730913792