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34924126992 = 24323615031031
BaseRepresentation
bin100000100001101000…
…111110001100010000
310100010220220110201220
4200201220332030100
51033011034030432
624013253125040
72344311116136
oct404150761420
9110126813656
1034924126992
11138a1839577
126928029780
1333a75a9c01
1419943d9756
15d9609472c
hex821a3e310

34924126992 has 160 divisors (see below), whose sum is σ = 95969857536. Its totient is φ = 10920307200.

The previous prime is 34924126961. The next prime is 34924126997. The reversal of 34924126992 is 29962142943.

It is not an unprimeable number, because it can be changed into a prime (34924126997) 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 31 ways as a sum of consecutive naturals, for example, 33873517 + ... + 33874547.

Almost surely, 234924126992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34924126992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47984928768).

34924126992 is an abundant number, since it is smaller than the sum of its proper divisors (61045730544).

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

34924126992 is a wasteful number, since it uses less digits than its factorization.

34924126992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The spelling of 34924126992 in words is "thirty-four billion, nine hundred twenty-four million, one hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 488 503 552 732 976 1006 1031 1104 1403 1464 1509 2012 2062 2806 2928 3018 3093 4024 4124 4209 5612 6036 6186 8048 8248 8418 11224 11569 12072 12372 16496 16836 22448 23138 23713 24144 24744 30683 33672 34707 46276 47426 49488 61366 62891 67344 69414 71139 92049 92552 94852 122732 125782 138828 142278 184098 185104 188673 189704 245464 251564 277656 284556 368196 377346 379408 490928 503128 518593 555312 569112 705709 736392 754692 1006256 1037186 1138224 1411418 1446493 1472784 1509384 1555779 2074372 2117127 2822836 2892986 3018768 3111558 4148744 4234254 4339479 5645672 5785972 6223116 8297488 8468508 8678958 11291344 11571944 11927639 12446232 16937016 17357916 23143888 23855278 24892464 31634173 33874032 34715832 35782917 47710556 63268346 69431664 71565834 94902519 95421112 126536692 143131668 189805038 190842224 253073384 286263336 379610076 506146768 572526672 727585979 759220152 1455171958 1518440304 2182757937 2910343916 4365515874 5820687832 8731031748 11641375664 17462063496 34924126992