Search a number
-
+
12571434760 = 2352341333283
BaseRepresentation
bin10111011010101000…
…01101111100001000
31012110010101001110211
423231110031330020
5201221241403020
65435241250504
7623350301203
oct135524157410
935403331424
1012571434760
11537127a005
12252a193a34
13125466b4c1
1487388a93a
154d89e985a
hex2ed50df08

12571434760 has 64 divisors (see below), whose sum is σ = 30235524480. Its totient is φ = 4692610560.

The previous prime is 12571434749. The next prime is 12571434787. The reversal of 12571434760 is 6743417521.

12571434760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125714347603 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128922 + ... + 204361.

It is an arithmetic number, because the mean of its divisors is an integer number (472430070).

Almost surely, 212571434760 is an apocalyptic number.

12571434760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12571434760 is an abundant number, since it is smaller than the sum of its proper divisors (17664089720).

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

12571434760 is a wasteful number, since it uses less digits than its factorization.

12571434760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333358 (or 333354 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 12571434760 in words is "twelve billion, five hundred seventy-one million, four hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4715 7544 9430 18860 37720 333283 666566 1333132 1666415 2666264 3332830 6665660 7665509 13331320 13664603 15331018 27329206 30662036 38327545 54658412 61324072 68323015 76655090 109316824 136646030 153310180 273292060 306620360 314285869 546584120 628571738 1257143476 1571429345 2514286952 3142858690 6285717380 12571434760