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153265562112 = 2931333123189
BaseRepresentation
bin1000111010111101010…
…1101110001000000000
3112122121100012020221110
42032233111232020000
510002341440441422
6154224220523320
714034030532335
oct2165725561000
9478540166843
10153265562112
1159aaa461313
12258543b0540
13115b6c94830
1475bd36498c
153ec062d60c
hex23af56e200

153265562112 has 160 divisors (see below), whose sum is σ = 441064895040. Its totient is φ = 47014133760.

The previous prime is 153265562029. The next prime is 153265562171. The reversal of 153265562112 is 211265562351.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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, 6597814 + ... + 6621002.

It is an arithmetic number, because the mean of its divisors is an integer number (2756655594).

Almost surely, 2153265562112 is an apocalyptic number.

153265562112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153265562112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220532447520).

153265562112 is an abundant number, since it is smaller than the sum of its proper divisors (287799332928).

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

153265562112 is a wasteful number, since it uses less digits than its factorization.

153265562112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554 (or 23538 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The spelling of 153265562112 in words is "one hundred fifty-three billion, two hundred sixty-five million, five hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 331 384 416 512 624 662 768 832 993 1248 1324 1536 1664 1986 2496 2648 3328 3972 4303 4992 5296 6656 7944 8606 9984 10592 12909 15888 17212 19968 21184 23189 25818 31776 34424 42368 46378 51636 63552 68848 69567 84736 92756 103272 127104 137696 139134 169472 185512 206544 254208 275392 278268 301457 371024 413088 508416 550784 556536 602914 742048 826176 904371 1101568 1113072 1205828 1484096 1652352 1808742 2203136 2226144 2411656 2968192 3304704 3617484 4452288 4823312 5936384 6609408 7234968 7675559 8904576 9646624 11872768 14469936 15351118 17809152 19293248 23026677 28939872 30702236 35618304 38586496 46053354 57879744 61404472 77172992 92106708 99782267 115759488 122808944 154345984 184213416 199564534 231518976 245617888 299346801 368426832 399129068 463037952 491235776 598693602 736853664 798258136 982471552 1197387204 1473707328 1596516272 1964943104 2394774408 2947414656 3193032544 3929886208 4789548816 5894829312 6386065088 9579097632 11789658624 12772130176 19158195264 25544260352 38316390528 51088520704 76632781056 153265562112