Search a number
-
+
855541749504 = 283133507049
BaseRepresentation
bin11000111001100100100…
…00110001011100000000
310000210022011201221210010
430130302100301130000
5103004122141441004
61453010324504520
7115545056611611
oct14346220613400
93023264657703
10855541749504
112aa919017212
1211998724b140
13628a5b8a000
142d5a0a99c08
15173c4451a89
hexc732431700

855541749504 has 144 divisors (see below), whose sum is σ = 2466656276000. Its totient is φ = 263243096064.

The previous prime is 855541749449. The next prime is 855541749523. The reversal of 855541749504 is 405947145558.

It is a congruent number.

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, 1433772 + ... + 1940820.

Almost surely, 2855541749504 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 855541749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233328138000).

855541749504 is an abundant number, since it is smaller than the sum of its proper divisors (1611114526496).

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

855541749504 is an equidigital number, since it uses as much as digits as its factorization.

855541749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507107 (or 507067 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 855541749504 in words is "eight hundred fifty-five billion, five hundred forty-one million, seven hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2197 2496 2704 3328 4056 4394 4992 5408 6591 8112 8788 9984 10816 13182 16224 17576 21632 26364 32448 35152 43264 52728 64896 70304 105456 129792 140608 210912 281216 421824 507049 562432 843648 1014098 1521147 1687296 2028196 3042294 4056392 6084588 6591637 8112784 12169176 13183274 16225568 19774911 24338352 26366548 32451136 39549822 48676704 52733096 64902272 79099644 85691281 97353408 105466192 129804544 158199288 171382562 194706816 210932384 257073843 316398576 342765124 389413632 421864768 514147686 632797152 685530248 843729536 1028295372 1113986653 1265594304 1371060496 1687459072 2056590744 2227973306 2531188608 2742120992 3341959959 4113181488 4455946612 5062377216 5484241984 6683919918 8226362976 8911893224 10968483968 13367839836 16452725952 17823786448 21936967936 26735679672 32905451904 35647572896 53471359344 65810903808 71295145792 106942718688 142590291584 213885437376 285180583168 427770874752 855541749504