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88116264192 = 2831157718077
BaseRepresentation
bin101001000010000100…
…0110111110100000000
322102102222022000101110
41102010020313310000
52420430230423232
6104251405203320
76236413613265
oct1220410676400
9272388260343
1088116264192
1134408374540
12150b1b60540
1384037945c8
14439ca6926c
15245acd2acc
hex1484237d00

88116264192 has 144 divisors (see below), whose sum is σ = 256295132352. Its totient is φ = 26654146560.

The previous prime is 88116264163. The next prime is 88116264199. The reversal of 88116264192 is 29146261188.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88116264199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4865458 + ... + 4883534.

It is an arithmetic number, because the mean of its divisors is an integer number (1779827308).

Almost surely, 288116264192 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 88116264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128147566176).

88116264192 is an abundant number, since it is smaller than the sum of its proper divisors (168178868160).

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

88116264192 is a wasteful number, since it uses less digits than its factorization.

88116264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684 (or 18670 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 88116264192 in words is "eighty-eight billion, one hundred sixteen million, two hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 577 704 768 1056 1154 1408 1731 2112 2308 2816 3462 4224 4616 6347 6924 8448 9232 12694 13848 18077 18464 19041 25388 27696 36154 36928 38082 50776 54231 55392 72308 73856 76164 101552 108462 110784 144616 147712 152328 198847 203104 216924 221568 289232 304656 397694 406208 433848 443136 578464 596541 609312 795388 812416 867696 1156928 1193082 1218624 1590776 1624832 1735392 2313856 2386164 2437248 3181552 3470784 4627712 4772328 4874496 6363104 6941568 9544656 10430429 12726208 13883136 19089312 20860858 25452416 31291287 38178624 41721716 50904832 62582574 76357248 83443432 114734719 125165148 152714496 166886864 229469438 250330296 333773728 344204157 458938876 500660592 667547456 688408314 917877752 1001321184 1335094912 1376816628 1835755504 2002642368 2670189824 2753633256 3671511008 4005284736 5507266512 7343022016 8010569472 11014533024 14686044032 22029066048 29372088064 44058132096 88116264192