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3139354368 = 28331726717
BaseRepresentation
bin1011101100011110…
…1011111100000000
322002210020201121000
42323013223330000
522412133314433
61235303132000
7140540033433
oct27307537400
98083221530
103139354368
1113710a1447
12737444000
133b0526a47
1421ad1d81a
1513591e113
hexbb1ebf00

3139354368 has 144 divisors (see below), whose sum is σ = 9830086560. Its totient is φ = 984858624.

The previous prime is 3139354307. The next prime is 3139354391. The reversal of 3139354368 is 8634539313.

3139354368 is a `hidden beast` number, since 3 + 13 + 93 + 543 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 104146 + ... + 130862.

It is an arithmetic number, because the mean of its divisors is an integer number (68264490).

Almost surely, 23139354368 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 3139354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915043280).

3139354368 is an abundant number, since it is smaller than the sum of its proper divisors (6690732192).

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

3139354368 is a wasteful number, since it uses less digits than its factorization.

3139354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26759 (or 26739 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3139354368 is about 56029.9417097680. The cubic root of 3139354368 is about 1464.2439797624.

The spelling of 3139354368 in words is "three billion, one hundred thirty-nine million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 26717 29376 39168 53434 58752 80151 106868 117504 160302 213736 240453 320604 427472 454189 480906 641208 721359 854944 908378 961812 1282416 1362567 1442718 1709888 1816756 1923624 2564832 2725134 2885436 3419776 3633512 3847248 4087701 5129664 5450268 5770872 6839552 7267024 7694496 8175402 10259328 10900536 11541744 12263103 14534048 15388992 16350804 20518656 21801072 23083488 24526206 29068096 30777984 32701608 43602144 46166976 49052412 58136192 61555968 65403216 87204288 92333952 98104824 116272384 130806432 174408576 184667904 196209648 261612864 348817152 392419296 523225728 784838592 1046451456 1569677184 3139354368