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85146361704 = 23331760738201
BaseRepresentation
bin100111101001100011…
…1100101111101101000
322010202222220100002000
41033103013211331220
52343334432033304
6103040554011000
76103002063405
oct1172307457550
9263688810060
1085146361704
11331239a0878
1214603416a60
13804c3ba561
14419a4592ac
1523351d6939
hex13d31e5f68

85146361704 has 128 divisors (see below), whose sum is σ = 250849612800. Its totient is φ = 26667878400.

The previous prime is 85146361697. The next prime is 85146361723. The reversal of 85146361704 is 40716364158.

85146361704 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 636 + 1 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×851463617042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85146361704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2209804 + ... + 2248004.

It is an arithmetic number, because the mean of its divisors is an integer number (1959762600).

Almost surely, 285146361704 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 85146361704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125424806400).

85146361704 is an abundant number, since it is smaller than the sum of its proper divisors (165703251096).

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

85146361704 is a wasteful number, since it uses less digits than its factorization.

85146361704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38840 (or 38830 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 85146361704 in words is "eighty-five billion, one hundred forty-six million, three hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 607 612 918 1214 1224 1821 1836 2428 3642 3672 4856 5463 7284 10319 10926 14568 16389 20638 21852 30957 32778 38201 41276 43704 61914 65556 76402 82552 92871 114603 123828 131112 152804 185742 229206 247656 278613 305608 343809 371484 458412 557226 649417 687618 742968 916824 1031427 1114452 1298834 1375236 1948251 2062854 2228904 2597668 2750472 3896502 4125708 5195336 5844753 7793004 8251416 11689506 15586008 17534259 23188007 23379012 35068518 46376014 46758024 69564021 70137036 92752028 139128042 140274072 185504056 208692063 278256084 394196119 417384126 556512168 626076189 788392238 834768252 1182588357 1252152378 1576784476 1669536504 2365176714 2504304756 3153568952 3547765071 4730353428 5008609512 7095530142 9460706856 10643295213 14191060284 21286590426 28382120568 42573180852 85146361704