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13257066700 = 22523721116981
BaseRepresentation
bin11000101100010111…
…01100100011001100
31021012220111202200101
430112023230203030
5204122302113300
610031252540444
7646344131143
oct142613544314
937186452611
1013257066700
1156932a5479
12269b921724
131333719a87
148da96475a
15528cceb6a
hex3162ec8cc

13257066700 has 72 divisors (see below), whose sum is σ = 29687117264. Its totient is φ = 5134752000.

The previous prime is 13257066673. The next prime is 13257066721. The reversal of 13257066700 is 766075231.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 13257066700.

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, 772210 + ... + 789190.

Almost surely, 213257066700 is an apocalyptic number.

13257066700 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 13257066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843558632).

13257066700 is an abundant number, since it is smaller than the sum of its proper divisors (16430050564).

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

13257066700 is a wasteful number, since it uses less digits than its factorization.

13257066700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17243 (or 17236 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 13257066700 in words is "thirteen billion, two hundred fifty-seven million, sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 211 370 422 740 844 925 1055 1850 2110 3700 4220 5275 7807 10550 15614 16981 21100 31228 33962 39035 67924 78070 84905 156140 169810 195175 339620 390350 424525 628297 780700 849050 1256594 1698100 2513188 3141485 3582991 6282970 7165982 12565940 14331964 15707425 17914955 31414850 35829910 62829700 71659820 89574775 132570667 179149550 265141334 358299100 530282668 662853335 1325706670 2651413340 3314266675 6628533350 13257066700