Search a number
-
+
29477929408 = 264183135349
BaseRepresentation
bin11011011101000001…
…011000000111000000
32211002100220222011021
4123131001120013000
5440332322220113
621313022155224
72062330160104
oct333501300700
984070828137
1029477929408
1111557582734
125868122b14
132a1a1832a5
1415d8d89904
15b77da148d
hex6dd0581c0

29477929408 has 56 divisors (see below), whose sum is σ = 60644379600. Its totient is φ = 14206126080.

The previous prime is 29477929361. The next prime is 29477929423. The reversal of 29477929408 is 80492977492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150118 + ... + 285466.

It is an arithmetic number, because the mean of its divisors is an integer number (1082935350).

Almost surely, 229477929408 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 29477929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30322189800).

29477929408 is an abundant number, since it is smaller than the sum of its proper divisors (31166450192).

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

29477929408 is a wasteful number, since it uses less digits than its factorization.

29477929408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135485 (or 135475 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 29477929408 in words is "twenty-nine billion, four hundred seventy-seven million, nine hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 83 164 166 328 332 656 664 1312 1328 2624 2656 3403 5312 6806 13612 27224 54448 108896 135349 217792 270698 541396 1082792 2165584 4331168 5549309 8662336 11098618 11233967 22197236 22467934 44394472 44935868 88788944 89871736 177577888 179743472 355155776 359486944 460592647 718973888 921185294 1842370588 3684741176 7369482352 14738964704 29477929408