Search a number
-
+
29736963072 = 2103216191993
BaseRepresentation
bin11011101100011101…
…100000110000000000
32211202102100020112200
4123230131200300000
5441400130304242
621354434153200
72101624005225
oct335435406000
984672306480
1029736963072
111167a816543
12591aa22800
132a5ba3974b
14162153794c
15b909bc04c
hex6ec760c00

29736963072 has 132 divisors (see below), whose sum is σ = 85960981080. Its totient is φ = 9901228032.

The previous prime is 29736963071. The next prime is 29736963079. The reversal of 29736963072 is 27036963792.

It is not an unprimeable number, because it can be changed into a prime (29736963071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14919708 + ... + 14921700.

Almost surely, 229736963072 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 29736963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42980490540).

29736963072 is an abundant number, since it is smaller than the sum of its proper divisors (56224018008).

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

29736963072 is a wasteful number, since it uses less digits than its factorization.

29736963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 29736963072 in words is "twenty-nine billion, seven hundred thirty-six million, nine hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1619 1993 2304 3072 3238 3986 4608 4857 5979 6476 7972 9216 9714 11958 12952 14571 15944 17937 19428 23916 25904 29142 31888 35874 38856 47832 51808 58284 63776 71748 77712 95664 103616 116568 127552 143496 155424 191328 207232 233136 255104 286992 310848 382656 414464 466272 510208 573984 621696 765312 828928 932544 1020416 1147968 1243392 1530624 1657856 1865088 2040832 2295936 2486784 3061248 3226667 3730176 4591872 4973568 6122496 6453334 7460352 9183744 9680001 12906668 14920704 18367488 19360002 25813336 29040003 38720004 51626672 58080006 77440008 103253344 116160012 154880016 206506688 232320024 309760032 413013376 464640048 619520064 826026752 929280096 1239040128 1652053504 1858560192 2478080256 3304107008 3717120384 4956160512 7434240768 9912321024 14868481536 29736963072