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29512780955922 = 2311191319142312539
BaseRepresentation
bin1101011010111011110101…
…10100110100000100010010
310212111101122110002212201110
412231131322310310010102
512332014133411042142
6142433552344114150
76134141140011645
oct655357264640422
9125441573085643
1029512780955922
1194493334a8a50
123387936765956
13136107419b8b4
147405d7793a5c
15362a6627a99c
hex1ad77ad34112

29512780955922 has 128 divisors (see below), whose sum is σ = 67885019136000. Its totient is φ = 8459521001280.

The previous prime is 29512780955921. The next prime is 29512780955927. The reversal of 29512780955922 is 22955908721592.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (29512780955921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2353672729 + ... + 2353685267.

It is an arithmetic number, because the mean of its divisors is an integer number (530351712000).

Almost surely, 229512780955922 is an apocalyptic number.

29512780955922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29512780955922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942509568000).

29512780955922 is an abundant number, since it is smaller than the sum of its proper divisors (38372238180078).

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

29512780955922 is a wasteful number, since it uses less digits than its factorization.

29512780955922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316.

The product of its (nonzero) digits is 81648000, while the sum is 66.

The spelling of 29512780955922 in words is "twenty-nine trillion, five hundred twelve billion, seven hundred eighty million, nine hundred fifty-five thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1319 1423 2638 2846 3957 4269 7914 8538 12539 14509 15653 25061 25078 27037 29018 31306 37617 43527 46959 50122 54074 75183 75234 81111 87054 93918 137929 150366 162222 238241 275671 275858 297407 413787 476482 551342 594814 714723 827013 827574 892221 1429446 1654026 1784442 1876937 2620651 3753874 5241302 5630811 7861953 11261622 15723906 16538941 17842997 20646307 33077882 35661803 35685994 41292614 49616823 53528991 61938921 71323606 99233646 106985409 107057982 123877842 181928351 196272967 213970818 314239879 339016943 363856702 392279833 392545934 545785053 588818901 628479758 678033886 784559666 942719637 1017050829 1091570106 1176839499 1177637802 1885439274 2034101658 2353678998 3456638669 3729186373 6913277338 7458372746 10369916007 11187559119 20739832014 22375118238 23534913043 47069826086 70604739129 141209478258 258884043473 447163347817 517768086946 776652130419 894326695634 1341490043451 1553304260838 2682980086902 4918796825987 9837593651974 14756390477961 29512780955922