Search a number
-
+
16057752816 = 2437436071831
BaseRepresentation
bin11101111010001110…
…11101110011110000
31112110002111100202210
432331013131303300
5230341241042231
611213221212120
71105632434610
oct167507356360
945402440683
1016057752816
1168a02013a6
123141861040
13168ba273b1
14ac48c6a40
1563eb02a46
hex3bd1ddcf0

16057752816 has 160 divisors (see below), whose sum is σ = 48617586688. Its totient is φ = 4471407360.

The previous prime is 16057752769. The next prime is 16057752827. The reversal of 16057752816 is 61825775061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8769021 + ... + 8770851.

Almost surely, 216057752816 is an apocalyptic number.

16057752816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16057752816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308793344).

16057752816 is an abundant number, since it is smaller than the sum of its proper divisors (32559833872).

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

16057752816 is a wasteful number, since it uses less digits than its factorization.

16057752816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 16057752816 in words is "sixteen billion, fifty-seven million, seven hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 607 688 903 1032 1204 1214 1806 1821 1831 2064 2408 2428 3612 3642 3662 4249 4816 4856 5493 7224 7284 7324 8498 9712 10986 12747 12817 14448 14568 14648 16996 21972 25494 25634 26101 29136 29296 33992 38451 43944 50988 51268 52202 67984 76902 78303 78733 87888 101976 102536 104404 153804 156606 157466 182707 203952 205072 208808 236199 307608 313212 314932 365414 417616 472398 548121 551131 615216 626424 629864 730828 944796 1096242 1102262 1111417 1252848 1259728 1461656 1653393 1889592 2192484 2204524 2222834 2923312 3306786 3334251 3779184 4384968 4409048 4445668 6613572 6668502 7779919 8769936 8818096 8891336 13227144 13337004 15559838 17782672 23339757 26454288 26674008 31119676 46679514 47790931 53348016 62239352 93359028 95581862 124478704 143372793 186718056 191163724 286745586 334536517 373436112 382327448 573491172 669073034 764654896 1003609551 1146982344 1338146068 2007219102 2293964688 2676292136 4014438204 5352584272 8028876408 16057752816