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55975804400 = 2452420133311
BaseRepresentation
bin110100001000011010…
…101111110111110000
312100111001100111011202
4310020122233313300
51404114301220100
641414231430332
74021063326005
oct641032576760
9170431314152
1055975804400
112181497837a
12aa222253a8
135380b16769
1429d02418ac
1516c92ed7d5
hexd086afdf0

55975804400 has 60 divisors (see below), whose sum is σ = 134517920064. Its totient is φ = 22384320000.

The previous prime is 55975804387. The next prime is 55975804403. The reversal of 55975804400 is 440857955.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55975804403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1663745 + ... + 1697055.

Almost surely, 255975804400 is an apocalyptic number.

55975804400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55975804400 is an abundant number, since it is smaller than the sum of its proper divisors (78542115664).

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

55975804400 is a wasteful number, since it uses less digits than its factorization.

55975804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530 (or 37519 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 55975804400 in words is "fifty-five billion, nine hundred seventy-five million, eight hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4201 8402 16804 21005 33311 33608 42010 66622 67216 84020 105025 133244 166555 168040 210050 266488 333110 336080 420100 532976 666220 832775 840200 1332440 1665550 1680400 2664880 3331100 6662200 13324400 139939511 279879022 559758044 699697555 1119516088 1399395110 2239032176 2798790220 3498487775 5597580440 6996975550 11195160880 13993951100 27987902200 55975804400