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53643141133300 = 225217946721133037
BaseRepresentation
bin11000011001001110001000…
…10111110011001111110100
321000221020022201221020102001
430030213010113303033310
524012342123112231200
6310031152511225044
714204406021210115
oct1414470427631764
9230836281836361
1053643141133300
1116101a23772334
126024497518184
1323c16ac960294
14d364b01b620c
156305ab87976a
hex30c9c45f33f4

53643141133300 has 144 divisors (see below), whose sum is σ = 117400742746560. Its totient is φ = 21274609213440.

The previous prime is 53643141133289. The next prime is 53643141133303. The reversal of 53643141133300 is 333114134635.

It is a self number, because there is not a number n which added to its sum of digits gives 53643141133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53643141133303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17663199382 + ... + 17663202418.

It is an arithmetic number, because the mean of its divisors is an integer number (815282935740).

Almost surely, 253643141133300 is an apocalyptic number.

53643141133300 is a gapful number since it is divisible by the number (50) 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 53643141133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700371373280).

53643141133300 is an abundant number, since it is smaller than the sum of its proper divisors (63757601613260).

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

53643141133300 is a wasteful number, since it uses less digits than its factorization.

53643141133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 53643141133300 its reverse (333114134635), we get a palindrome (53976255267935).

The spelling of 53643141133300 in words is "fifty-three trillion, six hundred forty-three billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 467 716 895 934 1790 1868 2113 2335 3037 3580 4226 4475 4670 6074 8452 8950 9340 10565 11675 12148 15185 17900 21130 23350 30370 42260 46700 52825 60740 75925 83593 105650 151850 167186 211300 303700 334372 378227 417965 543623 756454 835930 986771 1087246 1418279 1512908 1671860 1891135 1973542 2089825 2174492 2718115 2836558 3782270 3947084 4179650 4933855 5436230 5673116 6417181 7091395 7564540 8359300 9455675 9867710 10872460 12834362 13590575 14182790 18911350 19735420 24669275 25668724 27181150 28365580 32085905 35456975 37822700 49338550 54362300 64171810 70913950 98677100 128343620 141827900 160429525 176632009 253871941 320859050 353264018 507743882 641718100 706528036 883160045 1015487764 1148675399 1269359705 1766320090 2297350798 2538719410 2996823527 3532640180 4415800225 4594701596 5077438820 5743376995 5993647054 6346798525 8831600450 11486753990 11987294108 12693597050 14984117635 17663200900 22973507980 25387194100 28716884975 29968235270 57433769950 59936470540 74920588175 114867539900 149841176350 299682352700 536431411333 1072862822666 2145725645332 2682157056665 5364314113330 10728628226660 13410785283325 26821570566650 53643141133300