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88252471242 = 2351336733803
BaseRepresentation
bin101001000110001000…
…0011101011111001010
322102210110121001100000
41102030100131133022
52421220113034432
6104313112423430
76242656425345
oct1221420353712
9272713531300
1088252471242
1134478245951
121512b6a7b76
138425a743b0
1443b2ba345c
152467c3a57c
hex148c41d7ca

88252471242 has 96 divisors (see below), whose sum is σ = 213663498048. Its totient is φ = 27140075136.

The previous prime is 88252471199. The next prime is 88252471249. The reversal of 88252471242 is 24217425288.

88252471242 is a `hidden beast` number, since 8 + 82 + 524 + 7 + 1 + 2 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (88252471249) 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 47 ways as a sum of consecutive naturals, for example, 23204113 + ... + 23207915.

It is an arithmetic number, because the mean of its divisors is an integer number (2225661438).

Almost surely, 288252471242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88252471242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106831749024).

88252471242 is an abundant number, since it is smaller than the sum of its proper divisors (125411026806).

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

88252471242 is a wasteful number, since it uses less digits than its factorization.

88252471242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7494 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The spelling of 88252471242 in words is "eighty-eight billion, two hundred fifty-two million, four hundred seventy-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 3673 3803 6318 7346 7606 11019 11409 22038 22818 33057 34227 47749 49439 66114 68454 95498 98878 99171 102681 143247 148317 198342 205362 286494 296634 297513 308043 429741 444951 595026 616086 859482 889902 892539 924129 1289223 1334853 1785078 1848258 2578446 2669706 3867669 4004559 7735338 8009118 11603007 12013677 13968419 23206014 24027354 27936838 41905257 83810514 125715771 181589447 251431542 363178894 377147313 544768341 754294626 1089536682 1131441939 1634305023 2262883878 3268610046 3394325817 4902915069 6788651634 9805830138 14708745207 29417490414 44126235621 88252471242