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55815414272 = 295321972
BaseRepresentation
bin110011111110110110…
…111010001000000000
312100001212112211021122
4303332312322020000
51403302221224042
641350302011412
74014105123212
oct637666721000
9170055484248
1055815414272
1121742389952
12a998576b68
13535681a567
1429b6c105b2
1516ba1ba7d2
hexcfedba200

55815414272 has 90 divisors (see below), whose sum is σ = 114245612943. Its totient is φ = 27242156032.

The previous prime is 55815414241. The next prime is 55815414323. The reversal of 55815414272 is 27241451855.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55815414272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 55401861376 + 413552896 = 235376^2 + 20336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=167056.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283326878 + ... + 283327074.

Almost surely, 255815414272 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 55815414272

55815414272 is an abundant number, since it is smaller than the sum of its proper divisors (58430198671).

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

55815414272 is an frugal number, since it uses more digits than its factorization.

55815414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 252 counting only the distinct ones).

The product of its digits is 448000, while the sum is 44.

The spelling of 55815414272 in words is "fifty-five billion, eight hundred fifteen million, four hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 256 394 424 512 788 848 1576 1696 2809 3152 3392 5618 6304 6784 10441 11236 12608 13568 20882 22472 25216 27136 38809 41764 44944 50432 77618 83528 89888 100864 155236 167056 179776 310472 334112 359552 553373 620944 668224 719104 1106746 1241888 1336448 1438208 2056877 2213492 2483776 2672896 4113754 4426984 4967552 5345792 8227508 8853968 9935104 16455016 17707936 19870208 32910032 35415872 65820064 70831744 109014481 131640128 141663488 218028962 263280256 283326976 436057924 526560512 872115848 1053121024 1744231696 3488463392 6976926784 13953853568 27907707136 55815414272