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9927131872 = 257223812659
BaseRepresentation
bin10010011111011010…
…00000001011100000
3221121211122112211211
421033231000023200
5130312321204442
64321020515504
7501001141300
oct111755001340
927554575754
109927131872
114234675119
121b106abb94
13c22886338
146a25d5600
153d17b7617
hex24fb402e0

9927131872 has 72 divisors (see below), whose sum is σ = 22753006920. Its totient is φ = 4251098880.

The previous prime is 9927131777. The next prime is 9927131881. The reversal of 9927131872 is 2781317299.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3732079 + ... + 3734737.

It is an arithmetic number, because the mean of its divisors is an integer number (316013985).

Almost surely, 29927131872 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 9927131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376503460).

9927131872 is an abundant number, since it is smaller than the sum of its proper divisors (12825875048).

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

9927131872 is a wasteful number, since it uses less digits than its factorization.

9927131872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5049 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 9927131872 is about 99634.9932102171. The cubic root of 9927131872 is about 2149.1889402999.

The spelling of 9927131872 in words is "nine billion, nine hundred twenty-seven million, one hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2381 2659 4762 5318 9524 10636 16667 18613 19048 21272 33334 37226 38096 42544 66668 74452 76192 85088 116669 130291 133336 148904 233338 260582 266672 297808 466676 521164 533344 595616 933352 1042328 1866704 2084656 3733408 4169312 6331079 12662158 25324316 44317553 50648632 88635106 101297264 177270212 202594528 310222871 354540424 620445742 709080848 1240891484 1418161696 2481782968 4963565936 9927131872