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88806971136 = 2831312137333
BaseRepresentation
bin101001010110101001…
…1101101011100000000
322111020002222120012010
41102231103231130000
52423334041034021
6104444121332520
76262501541202
oct1225523553400
9274202876163
1088806971136
1134732246924
1215265337140
1384b38cbb40
1444266a4772
15249b76b976
hex14ad4ed700

88806971136 has 144 divisors (see below), whose sum is σ = 254781869216. Its totient is φ = 27298971648.

The previous prime is 88806971131. The next prime is 88806971153. The reversal of 88806971136 is 63117960888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88806971131) 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 15 ways as a sum of consecutive naturals, for example, 12106926 + ... + 12114258.

Almost surely, 288806971136 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 88806971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127390934608).

88806971136 is an abundant number, since it is smaller than the sum of its proper divisors (165974898080).

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

88806971136 is a wasteful number, since it uses less digits than its factorization.

88806971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 88806971136 in words is "eighty-eight billion, eight hundred six million, nine hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1213 1248 1664 2426 2496 3328 3639 4852 4992 7278 7333 9704 9984 14556 14666 15769 19408 21999 29112 29332 31538 38816 43998 47307 58224 58664 63076 77632 87996 94614 95329 116448 117328 126152 155264 175992 189228 190658 232896 234656 252304 285987 310528 351984 378456 381316 465792 469312 504608 571974 703968 756912 762632 931584 938624 1009216 1143948 1407936 1513824 1525264 1877248 2018432 2287896 2815872 3027648 3050528 4036864 4575792 5631744 6055296 6101056 8894929 9151584 12110592 12202112 17789858 18303168 24404224 26684787 35579716 36606336 53369574 71159432 73212672 106739148 115634077 142318864 213478296 231268154 284637728 346902231 426956592 462536308 569275456 693804462 853913184 925072616 1138550912 1387608924 1707826368 1850145232 2277101824 2775217848 3415652736 3700290464 5550435696 6831305472 7400580928 11100871392 14801161856 22201742784 29602323712 44403485568 88806971136