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88092598242 = 231121311376761
BaseRepresentation
bin101001000001010111…
…0100101111111100010
322102101022202122210210
41102002232211333202
52420403201120432
6104245202034550
76236005505325
oct1220256457742
9272338678723
1088092598242
11343a5a7aa00
12150a6048a56
1383cb8c969c
1443998687bc
152458baa8cc
hex1482ba5fe2

88092598242 has 96 divisors (see below), whose sum is σ = 196589840832. Its totient is φ = 26293696000.

The previous prime is 88092598213. The next prime is 88092598259. The reversal of 88092598242 is 24289529088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13026142 + ... + 13032902.

It is an arithmetic number, because the mean of its divisors is an integer number (2047810842).

Almost surely, 288092598242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88092598242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98294920416).

88092598242 is an abundant number, since it is smaller than the sum of its proper divisors (108497242590).

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

88092598242 is a wasteful number, since it uses less digits than its factorization.

88092598242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 88092598242 in words is "eighty-eight billion, ninety-two million, five hundred ninety-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 131 137 242 262 274 363 393 411 726 786 822 1441 1507 2882 3014 4323 4521 6761 8646 9042 13522 15851 16577 17947 20283 31702 33154 35894 40566 47553 49731 53841 74371 95106 99462 107682 148742 197417 223113 394834 446226 592251 818081 885691 926257 1184502 1636162 1771382 1852514 2171587 2454243 2657073 2778771 4343174 4908486 5314146 5557542 6514761 9742601 10188827 13029522 19485202 20377654 29227803 30566481 58455606 61132962 107168611 112077097 121339667 214337222 224154194 242679334 321505833 336231291 364019001 643011666 672462582 728038002 1334736337 2669472674 4004209011 8008418022 14682099707 29364199414 44046299121 88092598242