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53252237952 = 2732411127461
BaseRepresentation
bin110001100110000101…
…001010101010000000
312002110020110222101100
4301212011022222000
51333030033103302
640244100134400
73563432361024
oct614605125200
9162406428340
1053252237952
1120647555611
12a3a2097400
13503879b494
142812636384
1515ba160d1c
hexc6614aa80

53252237952 has 96 divisors (see below), whose sum is σ = 156976534260. Its totient is φ = 17317785600.

The previous prime is 53252237917. The next prime is 53252238019. The reversal of 53252237952 is 25973225235.

It is a happy number.

53252237952 is a `hidden beast` number, since 5 + 3 + 2 + 522 + 3 + 79 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35503603776 + 17748634176 = 188424^2 + 133224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 53252237898 and 53252237907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516499 + ... + 610962.

Almost surely, 253252237952 is an apocalyptic number.

It is an amenable number.

53252237952 is an abundant number, since it is smaller than the sum of its proper divisors (103724296308).

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

53252237952 is a wasteful number, since it uses less digits than its factorization.

53252237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127522 (or 1127507 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 53252237952 in words is "fifty-three billion, two hundred fifty-two million, two hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 47232 1127461 2254922 3382383 4509844 6764766 9019688 10147149 13529532 18039376 20294298 27059064 36078752 40588596 46225901 54118128 72157504 81177192 92451802 108236256 138677703 144315008 162354384 184903604 216472512 277355406 324708768 369807208 416033109 432945024 554710812 649417536 739614416 832066218 1109421624 1298835072 1479228832 1664132436 2218843248 2958457664 3328264872 4437686496 5916915328 6656529744 8875372992 13313059488 17750745984 26626118976 53252237952