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53055452232 = 23326121135717
BaseRepresentation
bin110001011010010110…
…011111010001001000
312001221112012020010100
4301122112133101020
51332124143432412
640212350245400
73555522621516
oct613226372110
9161845166110
1053055452232
1120556468592
12a3481b6860
135006a9b223
1427d444d4b6
1515a7c3dedc
hexc5a59f448

53055452232 has 96 divisors (see below), whose sum is σ = 146142130680. Its totient is φ = 17383956480.

The previous prime is 53055452213. The next prime is 53055452243. The reversal of 53055452232 is 23225455035.

53055452232 is a `hidden beast` number, since 5 + 30 + 554 + 52 + 23 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14043672036 + 39011780196 = 118506^2 + 197514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9277438 + ... + 9283154.

Almost surely, 253055452232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53055452232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73071065340).

53055452232 is an abundant number, since it is smaller than the sum of its proper divisors (93086678448).

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

53055452232 is a wasteful number, since it uses less digits than its factorization.

53055452232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 53055452232 in words is "fifty-three billion, fifty-five million, four hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2113 2196 4226 4392 5717 6339 8452 11434 12678 16904 17151 19017 22868 25356 34302 38034 45736 50712 51453 68604 76068 102906 128893 137208 152136 205812 257786 348737 386679 411624 515572 697474 773358 1031144 1046211 1160037 1394948 1546716 2092422 2320074 2789896 3093432 3138633 4184844 4640148 6277266 8369688 9280296 12080021 12554532 24160042 25109064 36240063 48320084 72480126 96640168 108720189 144960252 217440378 289920504 434880756 736881281 869761512 1473762562 2210643843 2947525124 4421287686 5895050248 6631931529 8842575372 13263863058 17685150744 26527726116 53055452232