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56557414117416 = 23315629150781171
BaseRepresentation
bin11001101110000010011001…
…00100111111000000101000
321102020211120102200212222210
430313001030210333000220
524403114041003224131
6320142041203245120
714625065305644252
oct1467011444770050
9242224512625883
1056557414117416
1117025956903153
1264152576797a0
1325734589bb784
14dd75718a4cd2
156812c4e3b146
hex33704c93f028

56557414117416 has 32 divisors (see below), whose sum is σ = 141402583101600. Its totient is φ = 18851264998080.

The previous prime is 56557414117411. The next prime is 56557414117471. The reversal of 56557414117416 is 61471141475565.

It is a super-4 number, since 4×565574141174164 (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (56557414117411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75015490 + ... + 75765681.

It is an arithmetic number, because the mean of its divisors is an integer number (4418830721925).

Almost surely, 256557414117416 is an apocalyptic number.

It is an amenable number.

56557414117416 is an abundant number, since it is smaller than the sum of its proper divisors (84845168984184).

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

56557414117416 is a wasteful number, since it uses less digits than its factorization.

56557414117416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150796809 (or 150796805 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 57.

The spelling of 56557414117416 in words is "fifty-six trillion, five hundred fifty-seven billion, four hundred fourteen million, one hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 15629 31258 46887 62516 93774 125032 187548 375096 150781171 301562342 452343513 603124684 904687026 1206249368 1809374052 3618748104 2356558921559 4713117843118 7069676764677 9426235686236 14139353529354 18852471372472 28278707058708 56557414117416