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85258376016 = 24311619260863
BaseRepresentation
bin100111101100111001…
…0111001001101010000
322011001210200020211020
41033121302321031100
52344102121013031
6103100034515440
76105532144632
oct1173162711520
9264053606736
1085258376016
1133181148890
1214634a35b80
138069679708
1441ab296a52
15233ee61096
hex13d9cb9350

85258376016 has 80 divisors (see below), whose sum is σ = 240662691840. Its totient is φ = 25794034560.

The previous prime is 85258375997. The next prime is 85258376089. The reversal of 85258376016 is 61067385258.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85258376016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196401 + ... + 457263.

It is an arithmetic number, because the mean of its divisors is an integer number (3008283648).

Almost surely, 285258376016 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 85258376016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120331345920).

85258376016 is an abundant number, since it is smaller than the sum of its proper divisors (155404315824).

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

85258376016 is a wasteful number, since it uses less digits than its factorization.

85258376016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261504 (or 261498 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 85258376016 in words is "eighty-five billion, two hundred fifty-eight million, three hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 619 1238 1857 2476 3714 4952 6809 7428 9904 13618 14856 20427 27236 29712 40854 54472 81708 108944 163416 260863 326832 521726 782589 1043452 1565178 2086904 2869493 3130356 4173808 5738986 6260712 8608479 11477972 12521424 17216958 22955944 34433916 45911888 68867832 137735664 161474197 322948394 484422591 645896788 968845182 1291793576 1776216167 1937690364 2583587152 3552432334 3875380728 5328648501 7104864668 7750761456 10657297002 14209729336 21314594004 28419458672 42629188008 85258376016