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88220161152 = 273429172
BaseRepresentation
bin101001000101001010…
…1001101010010000000
322102201012210112020000
41102022111031102000
52421133330124102
6104310000120000
76242114666004
oct1221225152200
9272635715200
1088220161152
1134460a878a2
1215120906000
13841c170ab6
1443ac792704
152464ea701c
hex148a54d480

88220161152 has 120 divisors (see below), whose sum is σ = 262631804985. Its totient is φ = 29396639232.

The previous prime is 88220161147. The next prime is 88220161189. The reversal of 88220161152 is 25116102288.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 47374134336 + 40846026816 = 217656^2 + 202104^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=210024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 30241998 + ... + 30244914.

Almost surely, 288220161152 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 88220161152

88220161152 is an abundant number, since it is smaller than the sum of its proper divisors (174411643833).

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

88220161152 is an frugal number, since it uses more digits than its factorization.

88220161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 88220161152 in words is "eighty-eight billion, two hundred twenty million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2917 3456 5184 5834 8751 10368 11668 17502 23336 26253 35004 46672 52506 70008 78759 93344 105012 140016 157518 186688 210024 236277 280032 315036 373376 420048 472554 560064 630072 840096 945108 1120128 1260144 1680192 1890216 2520288 3360384 3780432 5040576 7560864 8508889 10081152 15121728 17017778 25526667 30243456 34035556 51053334 68071112 76580001 102106668 136142224 153160002 204213336 229740003 272284448 306320004 408426672 459480006 544568896 612640008 689220009 816853344 918960012 1089137792 1225280016 1378440018 1633706688 1837920024 2450560032 2756880036 3267413376 3675840048 4901120064 5513760072 7351680096 9802240128 11027520144 14703360192 22055040288 29406720384 44110080576 88220161152