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52474392432 = 243372111929409
BaseRepresentation
bin110000110111101101…
…111010111101110000
312000110000211022221000
4300313231322331300
51324431421024212
640034552202000
73535235655600
oct606755727560
9160400738830
1052474392432
1120288476780
12a205699300
134c435a4567
14277b1d6c00
151571c131dc
hexc37b7af70

52474392432 has 960 divisors, whose sum is σ = 208647360000. Its totient is φ = 12436623360.

The previous prime is 52474392431. The next prime is 52474392457. The reversal of 52474392432 is 23429347425.

52474392432 is a `hidden beast` number, since 52 + 47 + 43 + 92 + 432 = 666.

It is a super-2 number, since 2×524743924322 (a number of 22 digits) contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52474392431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128299044 + ... + 128299452.

It is an arithmetic number, because the mean of its divisors is an integer number (217341000).

Almost surely, 252474392432 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 52474392432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104323680000).

52474392432 is an abundant number, since it is smaller than the sum of its proper divisors (156172967568).

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

52474392432 is a wasteful number, since it uses less digits than its factorization.

52474392432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 52474392432 in words is "fifty-two billion, four hundred seventy-four million, three hundred ninety-two thousand, four hundred thirty-two".