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88992120132 = 2232173718121713
BaseRepresentation
bin101001011100001010…
…1111111110101000100
322111201000101002212100
41102320111333311010
52424223440321012
6104514333552100
76300210353166
oct1227025776504
9274630332770
1088992120132
1134817806023
12152b7345630
138513086566
1444430dc936
1524acb408dc
hex14b857fd44

88992120132 has 144 divisors (see below), whose sum is σ = 245985051312. Its totient is φ = 27013201920.

The previous prime is 88992120109. The next prime is 88992120179. The reversal of 88992120132 is 23102129988.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 726086916 + 88266033216 = 26946^2 + 297096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087708 + ... + 4109420.

It is an arithmetic number, because the mean of its divisors is an integer number (1708229523).

Almost surely, 288992120132 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 88992120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992525656).

88992120132 is an abundant number, since it is smaller than the sum of its proper divisors (156992931180).

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

88992120132 is a wasteful number, since it uses less digits than its factorization.

88992120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21958 (or 21953 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 88992120132 in words is "eighty-eight billion, nine hundred ninety-two million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 181 204 222 306 333 362 444 543 612 629 666 724 1086 1258 1332 1629 1887 2172 2516 3077 3258 3774 5661 6154 6516 6697 7548 9231 11322 12308 13394 18462 20091 21713 22644 26788 27693 36924 40182 43426 55386 60273 65139 80364 86852 110772 113849 120546 130278 195417 227698 241092 260556 341547 369121 390834 455396 683094 738242 781668 803381 1024641 1107363 1366188 1476484 1606762 2049282 2214726 2410143 3213524 3322089 3930053 4098564 4429452 4820286 6644178 7230429 7860106 9640572 11790159 13288356 13657477 14460858 15720212 23580318 27314954 28921716 35370477 40972431 47160636 54629908 66810901 70740954 81944862 122917293 133621802 141481908 145411961 163889724 200432703 245834586 267243604 290823922 400865406 436235883 491669172 581647844 601298109 801730812 872471766 1202596218 1308707649 1744943532 2405192436 2472003337 2617415298 4944006674 5234830596 7416010011 9888013348 14832020022 22248030033 29664040044 44496060066 88992120132