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85195110276 = 223237313720389
BaseRepresentation
bin100111101011000000…
…1100011011110000100
322010220101122000112200
41033112001203132010
52343434422012101
6103045454514500
76104133326463
oct1172601433604
9263811560480
1085195110276
1133149467351
1214617805a30
138059528173
1441a2b089da
152339615986
hex13d6063784

85195110276 has 72 divisors (see below), whose sum is σ = 221256049560. Its totient is φ = 27620683776.

The previous prime is 85195110271. The next prime is 85195110289. The reversal of 85195110276 is 67201159158.

85195110276 is a `hidden beast` number, since 8 + 519 + 51 + 10 + 2 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78310425600 + 6884684676 = 279840^2 + 82974^2 .

It is not an unprimeable number, because it can be changed into a prime (85195110271) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4168290 + ... + 4188678.

Almost surely, 285195110276 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 85195110276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110628024780).

85195110276 is an abundant number, since it is smaller than the sum of its proper divisors (136060939284).

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

85195110276 is a wasteful number, since it uses less digits than its factorization.

85195110276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 85195110276 in words is "eighty-five billion, one hundred ninety-five million, one hundred ten thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3137 6274 9411 12548 18822 20389 28233 37644 40778 56466 61167 81556 112932 116069 122334 183501 232138 244668 348207 367002 464276 696414 734004 754393 1044621 1392828 1508786 2089242 2263179 3017572 4178484 4526358 6789537 9052716 13579074 27158148 63960293 127920586 191880879 255841172 383761758 575642637 767523516 1151285274 2302570548 2366530841 4733061682 7099592523 9466123364 14199185046 21298777569 28398370092 42597555138 85195110276