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6552157264956 = 223273197106911839
BaseRepresentation
bin101111101011000101100…
…0000011001110000111100
3212012101021002211211221200
41133112023000121300330
51324322304224434311
621534004113255500
71244243364553512
oct137261300316074
925171232754850
106552157264956
1120a6832a63aa6
12899a28264590
13386b34168514
141891aa0584b2
15b5683a3a556
hex5f58b019c3c

6552157264956 has 144 divisors (see below), whose sum is σ = 16891716441600. Its totient is φ = 2141013482496.

The previous prime is 6552157264949. The next prime is 6552157264997. The reversal of 6552157264956 is 6594627512556.

6552157264956 is a `hidden beast` number, since 6 + 5 + 5 + 2 + 1 + 572 + 6 + 4 + 9 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6552157264893 and 6552157264902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553432485 + ... + 553444323.

It is an arithmetic number, because the mean of its divisors is an integer number (117303586400).

Almost surely, 26552157264956 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 6552157264956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445858220800).

6552157264956 is an abundant number, since it is smaller than the sum of its proper divisors (10339559176644).

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

6552157264956 is a wasteful number, since it uses less digits than its factorization.

6552157264956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13183 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 6552157264956 in words is "six trillion, five hundred fifty-two billion, one hundred fifty-seven million, two hundred sixty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 197 219 292 394 438 591 657 788 876 1069 1182 1314 1773 2138 2364 2628 3207 3546 4276 6414 7092 9621 11839 12828 14381 19242 23678 28762 35517 38484 43143 47356 57524 71034 78037 86286 106551 129429 142068 156074 172572 210593 213102 234111 258858 312148 421186 426204 468222 517716 631779 702333 842372 864247 936444 1263558 1404666 1728494 1895337 2332283 2527116 2592741 2809332 3456988 3790674 4664566 5185482 6996849 7581348 7778223 9329132 10370964 12655891 13993698 15373289 15556446 20990547 25311782 27987396 30746578 31112892 37967673 41981094 46119867 50623564 61493156 75935346 83962188 92239734 113903019 138359601 151870692 170256659 184479468 227806038 276719202 340513318 455612076 510769977 553438404 681026636 923880043 1021539954 1532309931 1847760086 2043079908 2493210527 2771640129 3064619862 3695520172 4986421054 5543280258 6129239724 7479631581 8314920387 9972842108 11086560516 14959263162 16629840774 22438894743 29918526324 33259681548 44877789486 89755578972 182004368471 364008736942 546013105413 728017473884 1092026210826 1638039316239 2184052421652 3276078632478 6552157264956