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55132235664 = 243112713131231
BaseRepresentation
bin110011010110001000…
…110010011110010000
312021022021000202102020
4303112020302132100
51400402323020124
641154415051440
73661141161642
oct632610623620
9167267022366
1055132235664
1121421789730
12a827810b80
13527811a86c
1429501b4892
15167a21c379
hexcd6232790

55132235664 has 160 divisors (see below), whose sum is σ = 156571312128. Its totient is φ = 16578432000.

The previous prime is 55132235657. The next prime is 55132235729. The reversal of 55132235664 is 46653223155.

It is a happy 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, 44785929 + ... + 44787159.

Almost surely, 255132235664 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 55132235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78285656064).

55132235664 is an abundant number, since it is smaller than the sum of its proper divisors (101439076464).

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

55132235664 is a wasteful number, since it uses less digits than its factorization.

55132235664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1831 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

It can be divided in two parts, 551322 and 35664, that added together give a triangular number (586986 = T1083).

The spelling of 55132235664 in words is "fifty-five billion, one hundred thirty-two million, two hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 313 528 542 626 813 939 1084 1231 1252 1626 1878 2168 2462 2504 2981 3252 3443 3693 3756 4336 4924 5008 5962 6504 6886 7386 7512 8943 9848 10329 11924 13008 13541 13772 14772 15024 17886 19696 20658 23848 27082 27544 29544 35772 40623 41316 47696 54164 55088 59088 71544 81246 82632 84823 108328 143088 162492 165264 169646 216656 254469 324984 333601 339292 385303 508938 649968 667202 678584 770606 933053 1000803 1017876 1155909 1334404 1357168 1541212 1866106 2001606 2035752 2311818 2668808 2799159 3082424 3669611 3732212 4003212 4071504 4238333 4623636 5337616 5598318 6164848 7339222 7464424 8006424 8476666 9247272 11008833 11196636 12714999 14678444 14928848 16012848 16953332 18494544 22017666 22393272 25429998 29356888 33906664 44035332 44786544 50859996 58713776 67813328 88070664 101719992 104417113 176141328 203439984 208834226 313251339 417668452 626502678 835336904 1148588243 1253005356 1670673808 2297176486 2506010712 3445764729 4594352972 5012021424 6891529458 9188705944 13783058916 18377411888 27566117832 55132235664