Search a number
-
+
29819438656 = 267312147137
BaseRepresentation
bin11011110001011000…
…001000011001000000
32211222011112102202221
4123301120020121000
5442032234014111
621410542020424
72103645021640
oct336130103100
984864472687
1029819438656
1111712328687
125942577714
132a72b55877
14162c486520
15b97d5e371
hex6f1608640

29819438656 has 56 divisors (see below), whose sum is σ = 69807750656. Its totient is φ = 12367503360.

The previous prime is 29819438633. The next prime is 29819438681. The reversal of 29819438656 is 65683491892.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 29819438594 and 29819438603.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1059681 + ... + 1087456.

It is an arithmetic number, because the mean of its divisors is an integer number (1246566976).

Almost surely, 229819438656 is an apocalyptic number.

It is an amenable number.

29819438656 is an abundant number, since it is smaller than the sum of its proper divisors (39988312000).

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

29819438656 is a wasteful number, since it uses less digits than its factorization.

29819438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147187 (or 2147177 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 61.

The spelling of 29819438656 in words is "twenty-nine billion, eight hundred nineteen million, four hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 2147137 4294274 8588548 15029959 17177096 30059918 34354192 60119836 66561247 68708384 120239672 133122494 137416768 240479344 266244988 465928729 480958688 532489976 931857458 961917376 1064979952 1863714916 2129959904 3727429832 4259919808 7454859664 14909719328 29819438656