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53125254432 = 2533167368189
BaseRepresentation
bin110001011110100000…
…110000110100100000
312002010101112112202000
4301132200300310200
51332300031120212
640223322324000
73560331132465
oct613640606440
9162111475660
1053125254432
1120591903a58
12a367659600
13501839a9c3
1427dd81d66c
1515ade2b1dc
hexc5e830d20

53125254432 has 96 divisors (see below), whose sum is σ = 155876918400. Its totient is φ = 17602331904.

The previous prime is 53125254431. The next prime is 53125254451. The reversal of 53125254432 is 23445252135.

53125254432 is a `hidden beast` number, since 5 + 31 + 2 + 52 + 544 + 32 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (53125254431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39807 + ... + 328382.

It is an arithmetic number, because the mean of its divisors is an integer number (1623717900).

Almost surely, 253125254432 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 53125254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77938459200).

53125254432 is an abundant number, since it is smaller than the sum of its proper divisors (102751663968).

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

53125254432 is a wasteful number, since it uses less digits than its factorization.

53125254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368375 (or 368361 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 53125254432 in words is "fifty-three billion, one hundred twenty-five million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 167 216 288 334 432 501 668 864 1002 1336 1503 2004 2672 3006 4008 4509 5344 6012 8016 9018 12024 16032 18036 24048 36072 48096 72144 144288 368189 736378 1104567 1472756 2209134 2945512 3313701 4418268 5891024 6627402 8836536 9941103 11782048 13254804 17673072 19882206 26509608 35346144 39764412 53019216 61487563 79528824 106038432 122975126 159057648 184462689 245950252 318115296 368925378 491900504 553388067 737850756 983801008 1106776134 1475701512 1660164201 1967602016 2213552268 2951403024 3320328402 4427104536 5902806048 6640656804 8854209072 13281313608 17708418144 26562627216 53125254432