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54120456748840 = 235612363615001
BaseRepresentation
bin11000100111000111001101…
…00110010111111100101000
321002121212100200110211012011
430103203212212113330220
524043202143411430330
6311034332233325304
714254034241045016
oct1423434646277450
9232555320424164
1054120456748840
11162763a1a0aa59
1260a0aa7566834
1324276ca226551
14d516307c78b6
1563cbe5c4382a
hex3138e6997f28

54120456748840 has 48 divisors (see below), whose sum is σ = 123799999730940. Its totient is φ = 21293294400000.

The previous prime is 54120456748811. The next prime is 54120456748927. The reversal of 54120456748840 is 4884765402145.

It can be written as a sum of positive squares in 6 ways, for example, as 6111050978916 + 48009405769924 = 2472054^2 + 6928882^2 .

It is a super-2 number, since 2×541204567488402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181658661 + ... + 181956340.

Almost surely, 254120456748840 is an apocalyptic number.

It is an amenable number.

54120456748840 is an abundant number, since it is smaller than the sum of its proper divisors (69679542982100).

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

54120456748840 is a wasteful number, since it uses less digits than its factorization.

54120456748840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363615134 (or 363615069 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 58.

The spelling of 54120456748840 in words is "fifty-four trillion, one hundred twenty billion, four hundred fifty-six million, seven hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 3721 7442 14884 18605 29768 37210 74420 148840 363615001 727230002 1454460004 1818075005 2908920008 3636150010 7272300020 14544600040 22180515061 44361030122 88722060244 110902575305 177444120488 221805150610 443610301220 887220602440 1353011418721 2706022837442 5412045674884 6765057093605 10824091349768 13530114187210 27060228374420 54120456748840