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3913557312 = 26375354941
BaseRepresentation
bin1110100101000100…
…0010010101000000
3101002202001022101010
43221101002111000
531003332313222
61444201040520
7165660455040
oct35121022500
911082038333
103913557312
111729112595
12912786140
134a4a469b2
14291a91720
1517d89c80c
hexe9442540

3913557312 has 112 divisors (see below), whose sum is σ = 12057351552. Its totient is φ = 1097041920.

The previous prime is 3913557287. The next prime is 3913557353. The reversal of 3913557312 is 2137553193.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43762 + ... + 98702.

Almost surely, 23913557312 is an apocalyptic number.

3913557312 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 3913557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028675776).

3913557312 is an abundant number, since it is smaller than the sum of its proper divisors (8143794240).

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

3913557312 is a wasteful number, since it uses less digits than its factorization.

3913557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55016 (or 55006 counting only the distinct ones).

The product of its digits is 85050, while the sum is 39.

The square root of 3913557312 is about 62558.4311823754. The cubic root of 3913557312 is about 1575.8827418407.

The spelling of 3913557312 in words is "three billion, nine hundred thirteen million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23744 35616 54941 71232 109882 164823 219764 329646 384587 439528 659292 769174 879056 1153761 1318584 1538348 1758112 2307522 2637168 2911873 3076696 3516224 4615044 5274336 5823746 6153392 8735619 9230088 10548672 11647492 12306784 17471238 18460176 20383111 23294984 24613568 34942476 36920352 40766222 46589968 61149333 69884952 73840704 81532444 93179936 122298666 139769904 163064888 186359872 244597332 279539808 326129776 489194664 559079616 652259552 978389328 1304519104 1956778656 3913557312