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99942275070 = 232511112989417
BaseRepresentation
bin101110100010100000…
…1100001011111111110
3100112222011000121112100
41131011001201133332
53114140210300240
6113525101445530
710135443215151
oct1350501413776
9315864017470
1099942275070
1139426899550
12174525708a6
13956987b191
144ba1515c98
1528ee135e30
hex17450617fe

99942275070 has 96 divisors (see below), whose sum is σ = 283726890720. Its totient is φ = 24206699520.

The previous prime is 99942275033. The next prime is 99942275089. The reversal of 99942275070 is 7057224999.

99942275070 is a `hidden beast` number, since 9 + 99 + 42 + 2 + 7 + 507 + 0 = 666.

99942275070 is a nontrivial binomial coefficient, being equal to C(447085, 2).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 99942274998 and 99942275016.

It is a congruent number.

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, 1073002 + ... + 1162418.

It is an arithmetic number, because the mean of its divisors is an integer number (2955488445).

Almost surely, 299942275070 is an apocalyptic number.

99942275070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99942275070 is the 447084-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99942275070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141863445360).

99942275070 is an abundant number, since it is smaller than the sum of its proper divisors (183784615650).

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

99942275070 is a wasteful number, since it uses less digits than its factorization.

99942275070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90570 (or 90567 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 99942275070 in words is "ninety-nine billion, nine hundred forty-two million, two hundred seventy-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1129 2258 3387 5645 6774 10161 11290 12419 16935 20322 24838 33870 37257 50805 62095 74514 89417 101610 111771 124190 178834 186285 223542 268251 372570 447085 536502 558855 804753 894170 983587 1117710 1341255 1609506 1967174 2682510 2950761 4023765 4917935 5901522 8047530 8852283 9835870 14753805 17704566 29507610 44261415 88522830 100951793 201903586 302855379 504758965 605710758 908566137 1009517930 1110469723 1514276895 1817132274 2220939446 3028553790 3331409169 4542830685 5552348615 6662818338 9085661370 9994227507 11104697230 16657045845 19988455014 33314091690 49971137535 99942275070