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85911387504 = 24337139348011
BaseRepresentation
bin101000000000010110…
…1111011110101110000
322012202022102200011220
41100000231323311300
52401421303400004
6103244523105040
76130651513335
oct1200055736560
9265668380156
1085911387504
1133486813aa8
1214797672180
138141a46347
14422dcbc98c
15237c450dd9
hex1400b7bd70

85911387504 has 80 divisors (see below), whose sum is σ = 229576556160. Its totient is φ = 27662618880.

The previous prime is 85911387451. The next prime is 85911387547. The reversal of 85911387504 is 40578311958.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 72859 + ... + 420869.

It is an arithmetic number, because the mean of its divisors is an integer number (2869706952).

Almost surely, 285911387504 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 85911387504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114788278080).

85911387504 is an abundant number, since it is smaller than the sum of its proper divisors (143665168656).

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

85911387504 is a wasteful number, since it uses less digits than its factorization.

85911387504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348198 (or 348192 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 85911387504 in words is "eighty-five billion, nine hundred eleven million, three hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 139 148 222 278 296 417 444 556 592 834 888 1112 1668 1776 2224 3336 5143 6672 10286 15429 20572 30858 41144 61716 82288 123432 246864 348011 696022 1044033 1392044 2088066 2784088 4176132 5568176 8352264 12876407 16704528 25752814 38629221 48373529 51505628 77258442 96747058 103011256 145120587 154516884 193494116 206022512 290241174 309033768 386988232 580482348 618067536 773976464 1160964696 1789820573 2321929392 3579641146 5369461719 7159282292 10738923438 14318564584 21477846876 28637129168 42955693752 85911387504