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88167243042 = 2344125692
BaseRepresentation
bin101001000011100101…
…1010101110100100010
322102120112020000020000
41102013023111310202
52421031303234132
6104300430000430
76240603125544
oct1220713256442
9272515200200
1088167243042
113443412371a
1215107046116
1384112033c8
1443a5739694
15246050287c
hex14872d5d22

88167243042 has 90 divisors (see below), whose sum is σ = 202852499619. Its totient is φ = 28621883520.

The previous prime is 88167243023. The next prime is 88167243049. The reversal of 88167243042 is 24034276188.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1867017681 + 86300225361 = 43209^2 + 293769^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=209961.

It is not an unprimeable number, because it can be changed into a prime (88167243049) 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 44 ways as a sum of consecutive naturals, for example, 154950934 + ... + 154951502.

Almost surely, 288167243042 is an apocalyptic number.

88167243042 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 88167243042

88167243042 is an abundant number, since it is smaller than the sum of its proper divisors (114685256577).

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

88167243042 is an frugal number, since it uses more digits than its factorization.

88167243042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 88167243042 in words is "eighty-eight billion, one hundred sixty-seven million, two hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 569 738 1107 1138 1681 1707 2214 3321 3362 3414 5043 5121 6642 10086 10242 15129 15363 23329 30258 30726 45387 46089 46658 69987 90774 92178 136161 139974 209961 272322 323761 419922 629883 647522 956489 971283 1259766 1889649 1912978 1942566 2869467 2913849 3779298 5738934 5827698 8608401 8741547 13274201 17216802 17483094 25825203 26224641 26548402 39822603 51650406 52449282 77475609 79645206 119467809 154951218 238935618 358403427 544242241 716806854 1075210281 1088484482 1632726723 2150420562 3265453446 4898180169 9796360338 14694540507 29389081014 44083621521 88167243042