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55802707754641 = 61215128112
BaseRepresentation
bin11001011000000100101001…
…00100101011111010010001
321022120200112122112022121121
430230002110210223322101
524303232421141122031
6314403224322522241
714516420055466561
oct1454022444537221
9238520478468547
1055802707754641
11168648828324a1
126312b31b06381
13251a232733b93
14dacc18ba6da1
1566b85323b011
hex32c09492be91

55802707754641 has 27 divisors (see below), whose sum is σ = 57181209971067. Its totient is φ = 54457182090000.

The previous prime is 55802707754639. The next prime is 55802707754653. The reversal of 55802707754641 is 14645770720855.

The square root of 55802707754641 is 7470121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1814600279041 + 53988107475600 = 1347071^2 + 7347660^2 .

It is not a de Polignac number, because 55802707754641 - 21 = 55802707754639 is a prime.

It is a super-2 number, since 2×558027077546412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55802707754641.

It is not an unprimeable number, because it can be changed into a prime (55802707758641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68807284126 + ... + 68807284936.

It is an arithmetic number, because the mean of its divisors is an integer number (2117822591521).

Almost surely, 255802707754641 is an apocalyptic number.

55802707754641 is the 7470121-st square number.

55802707754641 is the 3735061-st centered octagonal number.

It is an amenable number.

55802707754641 is a deficient number, since it is larger than the sum of its proper divisors (1378502216426).

55802707754641 is an frugal number, since it uses more digits than its factorization.

55802707754641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 61.

The spelling of 55802707754641 in words is "fifty-five trillion, eight hundred two billion, seven hundred seven million, seven hundred fifty-four thousand, six hundred forty-one".

Divisors: 1 61 151 811 3721 9211 22801 49471 122461 561871 657721 1390861 3017731 7470121 18491611 40120981 84842521 99315871 455677381 1127988271 2447379841 6058268131 14996696521 68807284531 369554355991 914798487781 55802707754641