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95557490214912 = 21133113171137521
BaseRepresentation
bin10101101110100010110110…
…010000101000100000000000
3110112100012120210101121222000
4111232202312100220200000
5100011103214443334122
6535122301024144000
726061541455052455
oct2556426620504000
9415305523347860
1095557490214912
11284a1782058520
12a873822168000
1341420569b26bb
141985015aa582c
15b0aa09e240ac
hex56e8b6428800

95557490214912 has 1536 divisors, whose sum is σ = 326232487526400. Its totient is φ = 27373731840000.

The previous prime is 95557490214889. The next prime is 95557490215001. The reversal of 95557490214912 is 21941209475559.

It is a happy number.

95557490214912 is a `hidden beast` number, since 9 + 5 + 5 + 57 + 4 + 90 + 2 + 1 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 95557490214912.

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 127 ways as a sum of consecutive naturals, for example, 183411689212 + ... + 183411689732.

It is an arithmetic number, because the mean of its divisors is an integer number (212390942400).

Almost surely, 295557490214912 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 95557490214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163116243763200).

95557490214912 is an abundant number, since it is smaller than the sum of its proper divisors (230674997311488).

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

95557490214912 is a wasteful number, since it uses less digits than its factorization.

95557490214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 95557490214912 in words is "ninety-five trillion, five hundred fifty-seven billion, four hundred ninety million, two hundred fourteen thousand, nine hundred twelve".