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29158613682 = 231119109121313
BaseRepresentation
bin11011001001111111…
…010010001010110010
32210021010002001022220
4123021333102022302
5434204101114212
621221214141510
72051402061342
oct331177221262
983233061286
1029158613682
1111403306040
1257991b1896
132998c81683
1415a87c8d22
15b59d2938c
hex6c9fd22b2

29158613682 has 64 divisors (see below), whose sum is σ = 67031677440. Its totient is φ = 8362828800.

The previous prime is 29158613681. The next prime is 29158613723. The reversal of 29158613682 is 28631685192.

It is a super-2 number, since 2×291586136822 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29158613681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1357458 + ... + 1378770.

It is an arithmetic number, because the mean of its divisors is an integer number (1047369960).

Almost surely, 229158613682 is an apocalyptic number.

29158613682 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 29158613682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33515838720).

29158613682 is an abundant number, since it is smaller than the sum of its proper divisors (37873063758).

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

29158613682 is a wasteful number, since it uses less digits than its factorization.

29158613682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439.

The product of its digits is 1244160, while the sum is 51.

The spelling of 29158613682 in words is "twenty-nine billion, one hundred fifty-eight million, six hundred thirteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1091 1254 2182 3273 6546 12001 20729 21313 24002 36003 41458 42626 62187 63939 72006 124374 127878 228019 234443 404947 456038 468886 684057 703329 809894 1214841 1368114 1406658 2429682 4454417 8908834 13363251 23252483 26726502 46504966 69757449 139514898 255777313 441797177 511554626 767331939 883594354 1325391531 1534663878 2650783062 4859768947 9719537894 14579306841 29158613682