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3797149312 = 27117336943
BaseRepresentation
bin1110001001010011…
…1110011010000000
3100210122000011121201
43202110332122000
530234032234222
61424442030544
7163045144105
oct34224763200
910718004551
103797149312
111679434530
1289b7a8454
134868a9a18
1428042caac
15173556427
hexe253e680

3797149312 has 64 divisors (see below), whose sum is σ = 8365599360. Its totient is φ = 1702287360.

The previous prime is 3797149303. The next prime is 3797149337. The reversal of 3797149312 is 2139417973.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84313 + ... + 121255.

It is an arithmetic number, because the mean of its divisors is an integer number (130712490).

Almost surely, 23797149312 is an apocalyptic number.

3797149312 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 3797149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182799680).

3797149312 is an abundant number, since it is smaller than the sum of its proper divisors (4568450048).

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

3797149312 is a wasteful number, since it uses less digits than its factorization.

3797149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37041 (or 37029 counting only the distinct ones).

The product of its digits is 285768, while the sum is 46.

The square root of 3797149312 is about 61621.0135586879. The cubic root of 3797149312 is about 1560.1004362248.

The spelling of 3797149312 in words is "three billion, seven hundred ninety-seven million, one hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 292 352 584 704 803 1168 1408 1606 2336 3212 4672 6424 9344 12848 25696 36943 51392 73886 102784 147772 295544 406373 591088 812746 1182176 1625492 2364352 2696839 3250984 4728704 5393678 6501968 10787356 13003936 21574712 26007872 29665229 43149424 52015744 59330458 86298848 118660916 172597696 237321832 345195392 474643664 949287328 1898574656 3797149312