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85400147376 = 24326116758217
BaseRepresentation
bin100111110001000111…
…1101101010110110000
322011102200102222120100
41033202033231112300
52344344414204001
6103122101312400
76112203163335
oct1174217552660
9264380388510
1085400147376
113324417a7a5
1214674405700
13808cb570ab
1441c203c98c
15234c617586
hex13e23ed5b0

85400147376 has 120 divisors (see below), whose sum is σ = 244378671264. Its totient is φ = 27831905280.

The previous prime is 85400147363. The next prime is 85400147387. The reversal of 85400147376 is 67374100458.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437820 + ... + 1496036.

Almost surely, 285400147376 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 85400147376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122189335632).

85400147376 is an abundant number, since it is smaller than the sum of its proper divisors (158978523888).

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

85400147376 is a wasteful number, since it uses less digits than its factorization.

85400147376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58459 (or 58450 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 85400147376 in words is "eighty-five billion, four hundred million, one hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 167 183 244 334 366 488 501 549 668 732 976 1002 1098 1336 1464 1503 2004 2196 2672 2928 3006 4008 4392 6012 8016 8784 10187 12024 20374 24048 30561 40748 58217 61122 81496 91683 116434 122244 162992 174651 183366 232868 244488 349302 366732 465736 488976 523953 698604 733464 931472 1047906 1397208 1466928 2095812 2794416 3551237 4191624 7102474 8383248 9722239 10653711 14204948 19444478 21307422 28409896 29166717 31961133 38888956 42614844 56819792 58333434 63922266 77777912 85229688 87500151 116666868 127844532 155555824 170459376 175000302 233333736 255689064 350000604 466667472 511378128 593056579 700001208 1186113158 1400002416 1779169737 2372226316 3558339474 4744452632 5337509211 7116678948 9488905264 10675018422 14233357896 21350036844 28466715792 42700073688 85400147376