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10139295744 = 2133345841
BaseRepresentation
bin10010111000101100…
…10110000000000000
3222011121212120222000
421130112112000000
5131231124430434
64354040144000
7506155406664
oct113426260000
928147776860
1010139295744
114333405a66
121b6b768000
13c5780c0a6
146c28628a4
153e5225b99
hex25c596000

10139295744 has 112 divisors (see below), whose sum is σ = 30041179440. Its totient is φ = 3379691520.

The previous prime is 10139295721. The next prime is 10139295757. The reversal of 10139295744 is 44759293101.

10139295744 is a `hidden beast` number, since 101 + 392 + 95 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10139295744.

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 7 ways as a sum of consecutive naturals, for example, 198264 + ... + 244104.

Almost surely, 210139295744 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 10139295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020589720).

10139295744 is an abundant number, since it is smaller than the sum of its proper divisors (19901883696).

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

10139295744 is an frugal number, since it uses more digits than its factorization.

10139295744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45876 (or 45846 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 101392 and 95744, that added together give a square (197136 = 4442).

The spelling of 10139295744 in words is "ten billion, one hundred thirty-nine million, two hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 45841 55296 73728 91682 110592 137523 183364 221184 275046 366728 412569 550092 733456 825138 1100184 1237707 1466912 1650276 2200368 2475414 2933824 3300552 4400736 4950828 5867648 6601104 8801472 9901656 11735296 13202208 17602944 19803312 23470592 26404416 35205888 39606624 46941184 52808832 70411776 79213248 93882368 105617664 140823552 158426496 187764736 211235328 281647104 316852992 375529472 422470656 563294208 633705984 844941312 1126588416 1267411968 1689882624 2534823936 3379765248 5069647872 10139295744