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54088380400 = 24521311032221
BaseRepresentation
bin110010010111111010…
…110010111111110000
312011121111211102012011
4302113322302333300
51341233111133100
640503045412304
73623234435065
oct622772627760
9164544742164
1054088380400
1120a3653182a
12a59610a094
13513ca97122
1428916ccc6c
151618776bba
hexc97eb2ff0

54088380400 has 60 divisors (see below), whose sum is σ = 130939425144. Its totient is φ = 21470176000.

The previous prime is 54088380337. The next prime is 54088380407. The reversal of 54088380400 is 408388045.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088380407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463711 + ... + 568510.

Almost surely, 254088380400 is an apocalyptic number.

54088380400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54088380400 is an abundant number, since it is smaller than the sum of its proper divisors (76851044744).

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

54088380400 is a wasteful number, since it uses less digits than its factorization.

54088380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032370 (or 1032359 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 54088380400 in words is "fifty-four billion, eighty-eight million, three hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 524 655 1048 1310 2096 2620 3275 5240 6550 10480 13100 26200 52400 1032221 2064442 4128884 5161105 8257768 10322210 16515536 20644420 25805525 41288840 51611050 82577680 103222100 135220951 206444200 270441902 412888400 540883804 676104755 1081767608 1352209510 2163535216 2704419020 3380523775 5408838040 6761047550 10817676080 13522095100 27044190200 54088380400