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3913749312 = 263118772113
BaseRepresentation
bin1110100101000111…
…0001001101000000
3101002202102001202020
43221101301031000
531003404434222
61444205121440
7165662214564
oct35121611500
911082361666
103913749312
111729233870
12912859280
134a4ab31c5
14291b016a4
1517d8d965c
hexe9471340

3913749312 has 112 divisors (see below), whose sum is σ = 11314736832. Its totient is φ = 1184071680.

The previous prime is 3913749311. The next prime is 3913749337. The reversal of 3913749312 is 2139473193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913749311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851168 + ... + 1853280.

It is an arithmetic number, because the mean of its divisors is an integer number (101024436).

Almost surely, 23913749312 is an apocalyptic number.

3913749312 is a gapful number since it is divisible by the number (32) 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 3913749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657368416).

3913749312 is an abundant number, since it is smaller than the sum of its proper divisors (7400987520).

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

3913749312 is a wasteful number, since it uses less digits than its factorization.

3913749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3006 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 3913749312 is about 62559.9657288909. The cubic root of 3913749312 is about 1575.9085124729.

The spelling of 3913749312 in words is "three billion, nine hundred thirteen million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 877 1056 1754 2112 2113 2631 3508 4226 5262 6339 7016 8452 9647 10524 12678 14032 16904 19294 21048 23243 25356 28064 28941 33808 38588 42096 46486 50712 56128 57882 67616 69729 77176 84192 92972 101424 115764 135232 139458 154352 168384 185944 202848 231528 278916 308704 371888 405696 463056 557832 617408 743776 926112 1115664 1487552 1852224 1853101 2231328 3706202 4462656 5559303 7412404 11118606 14824808 20384111 22237212 29649616 40768222 44474424 59299232 61152333 81536444 88948848 118598464 122304666 163072888 177897696 244609332 326145776 355795392 489218664 652291552 978437328 1304583104 1956874656 3913749312