Search a number
-
+
29944213842 = 23293112294517
BaseRepresentation
bin11011111000110100…
…000111000101010010
32212021212022200011010
4123320310013011102
5442311204320332
621431200231350
72110021421664
oct337064070522
985255280133
1029944213842
1111776801074
12597830b556
132a9296213a
141640c86534
15ba3ca99cc
hex6f8d07152

29944213842 has 64 divisors (see below), whose sum is σ = 64018252800. Its totient is φ = 9316688640.

The previous prime is 29944213841. The next prime is 29944213867. The reversal of 29944213842 is 24831244992.

It is a junction number, because it is equal to n+sod(n) for n = 29944213791 and 29944213800.

It is not an unprimeable number, because it can be changed into a prime (29944213841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6626968 + ... + 6631484.

It is an arithmetic number, because the mean of its divisors is an integer number (1000285200).

Almost surely, 229944213842 is an apocalyptic number.

29944213842 is an abundant number, since it is smaller than the sum of its proper divisors (34074038958).

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

29944213842 is a wasteful number, since it uses less digits than its factorization.

29944213842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811.

The product of its digits is 995328, while the sum is 48.

The spelling of 29944213842 in words is "twenty-nine billion, nine hundred forty-four million, two hundred thirteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 899 1229 1798 2458 2697 3687 4517 5394 7374 9034 13551 27102 35641 38099 71282 76198 106923 114297 130993 140027 213846 228594 261986 280054 392979 420081 785958 840162 1104871 2209742 3314613 4060783 5551393 6629226 8121566 11102786 12182349 16654179 24364698 33308358 160990397 172093183 321980794 344186366 482971191 516279549 965942382 1032559098 4990702307 9981404614 14972106921 29944213842