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12929762070 = 23251972692711
BaseRepresentation
bin11000000101010110…
…01000001100010110
31020101002121222010200
430002223020030112
5202440004341240
65535001401330
7635261110221
oct140253101426
936332558120
1012929762070
115535571685
12260a199246
1312b097bab4
148a92c45b8
1550a1ca930
hex302ac8316

12929762070 has 96 divisors (see below), whose sum is σ = 33926143680. Its totient is φ = 3416421120.

The previous prime is 12929762059. The next prime is 12929762071. The reversal of 12929762070 is 7026792921.

12929762070 is a `hidden beast` number, since 12 + 9 + 2 + 9 + 7 + 620 + 7 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929762071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4768015 + ... + 4770725.

It is an arithmetic number, because the mean of its divisors is an integer number (353397330).

Almost surely, 212929762070 is an apocalyptic number.

12929762070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12929762070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963071840).

12929762070 is an abundant number, since it is smaller than the sum of its proper divisors (20996381610).

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

12929762070 is a wasteful number, since it uses less digits than its factorization.

12929762070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12929762070 in words is "twelve billion, nine hundred twenty-nine million, seven hundred sixty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 269 394 538 591 807 985 1182 1345 1614 1773 1970 2421 2690 2711 2955 3546 4035 4842 5422 5910 8070 8133 8865 12105 13555 16266 17730 24210 24399 27110 40665 48798 52993 81330 105986 121995 158979 243990 264965 317958 476937 529930 534067 729259 794895 953874 1068134 1458518 1589790 1602201 2187777 2384685 2670335 3204402 3646295 4375554 4769370 4806603 5340670 6563331 7292590 8011005 9613206 10938885 13126662 16022010 21877770 24033015 32816655 48066030 65633310 143664023 287328046 430992069 718320115 861984138 1292976207 1436640230 2154960345 2585952414 4309920690 6464881035 12929762070