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54029034720 = 25345712827
BaseRepresentation
bin110010010100011000…
…011010010011100000
312011110101011100020000
4302110120122103200
51341122413102340
640453125420000
73621614134443
oct622430322340
9164411140200
1054029034720
1120a05a88511
12a57a26a600
1351306b8c3b
14288788165a
151613452d30
hexc9461a4e0

54029034720 has 360 divisors, whose sum is σ = 193634750232. Its totient is φ = 14187640320.

The previous prime is 54029034691. The next prime is 54029034737. The reversal of 54029034720 is 2743092045.

54029034720 is a `hidden beast` number, since 5 + 4 + 0 + 290 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×540290347203 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65330947 + ... + 65331773.

Almost surely, 254029034720 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 54029034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96817375116).

54029034720 is an abundant number, since it is smaller than the sum of its proper divisors (139605715512).

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

54029034720 is an equidigital number, since it uses as much as digits as its factorization.

54029034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54029034720 in words is "fifty-four billion, twenty-nine million, thirty-four thousand, seven hundred twenty".