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54632661014550 = 23522114933349919
BaseRepresentation
bin11000110110000001010000…
…10110100101100000010110
321011102211110002011110122210
430123000220112211200112
524130100142204431200
6312105521544334250
714336036161343103
oct1433005026454026
9234384402143583
1054632661014550
1116453643965963
126164213774386
132463ab7927908
14d6c3407dbaaa
1564b1c2ee5650
hex31b0285a5816

54632661014550 has 96 divisors (see below), whose sum is σ = 136159112401920. Its totient is φ = 14496682838400.

The previous prime is 54632661014543. The next prime is 54632661014579. The reversal of 54632661014550 is 5541016623645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54632661014550.

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, 155954491 + ... + 156304409.

It is an arithmetic number, because the mean of its divisors is an integer number (1418324087520).

Almost surely, 254632661014550 is an apocalyptic number.

54632661014550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54632661014550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68079556200960).

54632661014550 is an abundant number, since it is smaller than the sum of its proper divisors (81526451387370).

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

54632661014550 is a wasteful number, since it uses less digits than its factorization.

54632661014550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355078 (or 355073 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 54632661014550 in words is "fifty-four trillion, six hundred thirty-two billion, six hundred sixty-one million, fourteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 211 422 633 1055 1266 2110 3165 4933 5275 6330 9866 10550 14799 15825 24665 29598 31650 49330 73995 123325 147990 246650 349919 369975 699838 739950 1040863 1049757 1749595 2081726 2099514 3122589 3499190 5204315 5248785 6245178 8747975 10408630 10497570 15612945 17495950 26021575 26243925 31225890 52043150 52487850 73832909 78064725 147665818 156129450 221498727 369164545 442997454 738329090 1107493635 1726150427 1845822725 2214987270 3452300854 3691645450 5178451281 5537468175 8630752135 10356902562 11074936350 17261504270 25892256405 43153760675 51784512810 86307521350 129461282025 258922564050 364217740097 728435480194 1092653220291 1821088700485 2185306440582 3642177400970 5463266101455 9105443502425 10926532202910 18210887004850 27316330507275 54632661014550