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13037996272 = 24747101137179
BaseRepresentation
bin11000010010010000…
…00000100011110000
31020122122021211112211
430021020000203300
5203200211340042
65553425301504
7641044065640
oct141110004360
936578254484
1013037996272
115590677634
12263a494894
1312ca2164c2
148b981a520
1551495a017
hex3092008f0

13037996272 has 160 divisors (see below), whose sum is σ = 30160926720. Its totient is φ = 5345126400.

The previous prime is 13037996243. The next prime is 13037996281. The reversal of 13037996272 is 27269973031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72837879 + ... + 72838057.

It is an arithmetic number, because the mean of its divisors is an integer number (188505792).

Almost surely, 213037996272 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 13037996272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080463360).

13037996272 is an abundant number, since it is smaller than the sum of its proper divisors (17122930448).

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

13037996272 is a wasteful number, since it uses less digits than its factorization.

13037996272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

The spelling of 13037996272 in words is "thirteen billion, thirty-seven million, nine hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 101 112 137 179 188 202 274 329 358 376 404 548 658 707 716 752 808 959 1096 1253 1316 1414 1432 1616 1918 2192 2506 2632 2828 2864 3836 4747 5012 5264 5656 6439 7672 8413 9494 10024 11312 12878 13837 15344 16826 18079 18988 20048 24523 25756 27674 33229 33652 36158 37976 45073 49046 51512 55348 58891 66458 67304 72316 75952 90146 96859 98092 103024 110696 117782 126553 132916 134608 144632 171661 180292 193718 196184 221392 235564 253106 265832 289264 343322 360584 387436 392368 471128 506212 531664 650339 686644 721168 774872 849713 942256 1012424 1152581 1300678 1373288 1549744 1699426 2024848 2305162 2476823 2601356 2746576 3398852 4552373 4610324 4953646 5202712 5947991 6797704 8068067 9104746 9220648 9907292 10405424 11895982 13595408 16136134 17337761 18209492 18441296 19814584 23791964 32272268 34675522 36418984 39629168 47583928 64544536 69351044 72837968 95167856 116410681 129089072 138702088 232821362 277404176 465642724 814874767 931285448 1629749534 1862570896 3259499068 6518998136 13037996272