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10929420012 = 2237236750647
BaseRepresentation
bin10100010110111000…
…11011011011101100
31001012200122001200210
422023130123123230
5134340412420022
65004303222420
7534561352200
oct121334333354
931180561623
1010929420012
1146a9411025
1221502a7a10
131052414b44
1475977ab00
1543e79ba0c
hex28b71b6ec

10929420012 has 72 divisors (see below), whose sum is σ = 29746988544. Its totient is φ = 3114121248.

The previous prime is 10929419999. The next prime is 10929420077. The reversal of 10929420012 is 21002492901.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190473 + ... + 241119.

Almost surely, 210929420012 is an apocalyptic number.

10929420012 is a gapful number since it is divisible by the number (12) 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 10929420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873494272).

10929420012 is an abundant number, since it is smaller than the sum of its proper divisors (18817568532).

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

10929420012 is a wasteful number, since it uses less digits than its factorization.

10929420012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51035 (or 51026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10929420012 in words is "ten billion, nine hundred twenty-nine million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 367 588 734 1101 1468 2202 2569 4404 5138 7707 10276 15414 17983 30828 35966 50647 53949 71932 101294 107898 151941 202588 215796 303882 354529 607764 709058 1063587 1418116 2127174 2481703 4254348 4963406 7445109 9926812 14890218 18587449 29780436 37174898 55762347 74349796 111524694 130112143 223049388 260224286 390336429 520448572 780672858 910785001 1561345716 1821570002 2732355003 3643140004 5464710006 10929420012