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57554408860 = 225131879117809
BaseRepresentation
bin110101100110100000…
…101001010110011100
312111120001202220101121
4311212200221112130
51420332412040420
642235022420324
74105152255244
oct654640512634
9174501686347
1057554408860
1122454a66263
12b1a2a316a4
135572b9ab40
142addb66b24
15176cbc32aa
hexd6682959c

57554408860 has 48 divisors (see below), whose sum is σ = 130231886400. Its totient is φ = 21239368704.

The previous prime is 57554408851. The next prime is 57554408887. The reversal of 57554408860 is 6880445575.

It is a happy number.

It is a super-3 number, since 3×575544088603 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 57554408798 and 57554408807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429636 + ... + 547444.

It is an arithmetic number, because the mean of its divisors is an integer number (2713164300).

Almost surely, 257554408860 is an apocalyptic number.

It is an amenable number.

57554408860 is an abundant number, since it is smaller than the sum of its proper divisors (72677477540).

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

57554408860 is a wasteful number, since it uses less digits than its factorization.

57554408860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119710 (or 119708 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 52.

The spelling of 57554408860 in words is "fifty-seven billion, five hundred fifty-four million, four hundred eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1879 3758 7516 9395 18790 24427 37580 48854 97708 117809 122135 235618 244270 471236 488540 589045 1178090 1531517 2356180 3063034 6126068 7657585 15315170 30630340 221363111 442726222 885452444 1106815555 2213631110 2877720443 4427262220 5755440886 11510881772 14388602215 28777204430 57554408860