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10939249360 = 24513411511699
BaseRepresentation
bin10100011000000011…
…11011001011010000
31001020101010110000201
422030001323023100
5134400421434420
65005254024544
7535041041164
oct121401731320
931211113021
1010939249360
114703a14a56
122153648154
131054476b20
1475abb8ca4
1544058e10a
hex28c07b2d0

10939249360 has 160 divisors (see below), whose sum is σ = 28260691200. Its totient is φ = 3912192000.

The previous prime is 10939249357. The next prime is 10939249361. The reversal of 10939249360 is 6394293901.

It is a self number, because there is not a number n which added to its sum of digits gives 10939249360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10939249361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6437791 + ... + 6439489.

It is an arithmetic number, because the mean of its divisors is an integer number (176629320).

Almost surely, 210939249360 is an apocalyptic number.

10939249360 is a gapful number since it is divisible by the number (10) 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 10939249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130345600).

10939249360 is an abundant number, since it is smaller than the sum of its proper divisors (17321441840).

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

10939249360 is a wasteful number, since it uses less digits than its factorization.

10939249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 10939249360 in words is "ten billion, nine hundred thirty-nine million, two hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 151 164 205 208 260 302 328 410 520 533 604 656 755 820 1040 1066 1208 1510 1640 1699 1963 2132 2416 2665 3020 3280 3398 3926 4264 5330 6040 6191 6796 7852 8495 8528 9815 10660 12080 12382 13592 15704 16990 19630 21320 22087 24764 27184 30955 31408 33980 39260 42640 44174 49528 61910 67960 69659 78520 80483 88348 99056 110435 123820 135920 139318 157040 160966 176696 220870 247640 256549 278636 321932 348295 353392 402415 441740 495280 513098 557272 643864 696590 804830 883480 905567 1026196 1114544 1282745 1287728 1393180 1609660 1766960 1811134 2052392 2565490 2786360 3219320 3335137 3622268 4104784 4527835 5130980 5572720 6438640 6670274 7244536 9055670 10261960 10518509 13340548 14489072 16675685 18111340 20523920 21037018 26681096 33351370 36222680 42074036 52592545 53362192 66702740 72445360 84148072 105185090 133405480 136740617 168296144 210370180 266810960 273481234 420740360 546962468 683703085 841480720 1093924936 1367406170 2187849872 2734812340 5469624680 10939249360