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2139046272 = 27331156267
BaseRepresentation
bin111111101111111…
…0100000110000000
312112001222210212000
41333133310012000
513340043440042
6552131104000
7104002410336
oct17737640600
95461883760
102139046272
119a8488140
124b8442000
1328120c56c
14164131b56
15c7bcb74c
hex7f7f4180

2139046272 has 128 divisors (see below), whose sum is σ = 6887203200. Its totient is φ = 648184320.

The previous prime is 2139046243. The next prime is 2139046289. The reversal of 2139046272 is 2726409312.

2139046272 is a `hidden beast` number, since 21 + 3 + 9 + 0 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 9883 + ... + 66149.

It is an arithmetic number, because the mean of its divisors is an integer number (53806275).

Almost surely, 22139046272 is an apocalyptic number.

2139046272 is a gapful number since it is divisible by the number (22) 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 2139046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443601600).

2139046272 is an abundant number, since it is smaller than the sum of its proper divisors (4748156928).

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

2139046272 is a wasteful number, since it uses less digits than its factorization.

2139046272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56301 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2139046272 is about 46249.8245618294. The cubic root of 2139046272 is about 1288.4672764128.

The spelling of 2139046272 in words is "two billion, one hundred thirty-nine million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 56267 112534 168801 225068 337602 450136 506403 618937 675204 900272 1012806 1237874 1350408 1519209 1800544 1856811 2025612 2475748 2700816 3038418 3601088 3713622 4051224 4951496 5401632 5570433 6076836 7202176 7427244 8102448 9902992 10803264 11140866 12153672 14854488 16204896 16711299 19805984 21606528 22281732 24307344 29708976 32409792 33422598 39611968 44563464 48614688 59417952 64819584 66845196 79223936 89126928 97229376 118835904 133690392 178253856 194458752 237671808 267380784 356507712 534761568 713015424 1069523136 2139046272