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53942482116432 = 243372131931477397
BaseRepresentation
bin11000100001111011101100…
…11111000001111101010000
321001222211222022210201222000
430100331312133001331100
524032243200410211212
6310420500103314000
714235133664452500
oct1420756637017520
9231884868721860
1053942482116432
1116207972971498
1260724b814b900
1324139a609b980
14d46b899aba00
1563827b25e1dc
hex310f767c1f50

53942482116432 has 3840 divisors, whose sum is σ = 220446690508800. Its totient is φ = 12460869550080.

The previous prime is 53942482116343. The next prime is 53942482116437. The reversal of 53942482116432 is 23461128424935.

53942482116432 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 2 + 482 + 116 + 43 + 2 = 666.

It is a super-2 number, since 2×539424821164322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53942482116437) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 556108063008 + ... + 556108063104.

It is an arithmetic number, because the mean of its divisors is an integer number (57407992320).

Almost surely, 253942482116432 is an apocalyptic number.

53942482116432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53942482116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110223345254400).

53942482116432 is an abundant number, since it is smaller than the sum of its proper divisors (166504208392368).

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

53942482116432 is a wasteful number, since it uses less digits than its factorization.

53942482116432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 53942482116432 in words is "fifty-three trillion, nine hundred forty-two billion, four hundred eighty-two million, one hundred sixteen thousand, four hundred thirty-two".