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55157064000336 = 2432383035166669
BaseRepresentation
bin11001000101010010000010…
…01101001110001101010000
321020021222000121220022011200
430202221001031032031100
524212143131341002321
6313150445544311200
714421652315231554
oct1442510115161520
9236258017808150
1055157064000336
1116635a85760801
126229985172500
1324a139a6ba33c
14d8988a99b864
15659b661bcd26
hex322a4134e350

55157064000336 has 30 divisors (see below), whose sum is σ = 154363172168010. Its totient is φ = 18385688000064.

The previous prime is 55157064000323. The next prime is 55157064000373. The reversal of 55157064000336 is 63300046075155.

55157064000336 is a `hidden beast` number, since 5 + 5 + 1 + 570 + 6 + 40 + 0 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36366399567936 + 18790664432400 = 6030456^2 + 4334820^2 .

It is a super-2 number, since 2×551570640003362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55157064000291 and 55157064000300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191517583191 + ... + 191517583478.

It is an arithmetic number, because the mean of its divisors is an integer number (5145439072267).

Almost surely, 255157064000336 is an apocalyptic number.

It is an amenable number.

55157064000336 is an abundant number, since it is smaller than the sum of its proper divisors (99206108167674).

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

55157064000336 is a wasteful number, since it uses less digits than its factorization.

55157064000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383035166683 (or 383035166674 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 55157064000336 in words is "fifty-five trillion, one hundred fifty-seven billion, sixty-four million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383035166669 766070333338 1149105500007 1532140666676 2298211000014 3064281333352 3447316500021 4596422000028 6128562666704 6894633000042 9192844000056 13789266000084 18385688000112 27578532000168 55157064000336