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10938136680 = 23325231321031
BaseRepresentation
bin10100010111111011…
…01011100001101000
31001020022000220201100
422023331223201220
5134400130333210
65005214121400
7535025425212
oct121375534150
931208026640
1010938136680
114703324a89
1221531b0260
131054177533
1475a9a95b2
1544041e5c0
hex28bf6b868

10938136680 has 96 divisors (see below), whose sum is σ = 37094578560. Its totient is φ = 2790015360.

The previous prime is 10938136663. The next prime is 10938136691. The reversal of 10938136680 is 8663183901.

It is a happy number.

It is a super-2 number, since 2×109381366802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652236 + ... + 668795.

It is an arithmetic number, because the mean of its divisors is an integer number (386401860).

Almost surely, 210938136680 is an apocalyptic number.

10938136680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10938136680 is an abundant number, since it is smaller than the sum of its proper divisors (26156441880).

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

10938136680 is a wasteful number, since it uses less digits than its factorization.

10938136680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321071 (or 1321064 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10938136680 in words is "ten billion, nine hundred thirty-eight million, one hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1321031 2642062 3963093 5284124 6605155 7926186 10568248 11889279 13210310 15852372 19815465 23778558 26420620 30383713 31704744 39630930 47557116 52841240 59446395 60767426 79261860 91151139 95114232 118892790 121534852 151918565 158523720 182302278 237785580 243069704 273453417 303837130 364604556 455755695 475571160 546906834 607674260 729209112 911511390 1093813668 1215348520 1367267085 1823022780 2187627336 2734534170 3646045560 5469068340 10938136680