Search a number
-
+
29301971616 = 253411304773
BaseRepresentation
bin11011010010100010…
…001001101010100000
32210122002211101110000
4123102202021222200
5440002301042431
621243334540000
72055062435451
oct332242115240
983562741400
1029301971616
1111477220a75
125819207600
1329bc896258
1415bd865128
15b676e59e6
hex6d2889aa0

29301971616 has 60 divisors (see below), whose sum is σ = 86176292202. Its totient is φ = 9767323008.

The previous prime is 29301971609. The next prime is 29301971639. The reversal of 29301971616 is 61617910392.

29301971616 is a `hidden beast` number, since 29 + 3 + 0 + 1 + 9 + 7 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28762803216 + 539168400 = 169596^2 + 23220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5649795 + ... + 5654978.

Almost surely, 229301971616 is an apocalyptic number.

It is an amenable number.

29301971616 is an abundant number, since it is smaller than the sum of its proper divisors (56874320586).

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

29301971616 is a wasteful number, since it uses less digits than its factorization.

29301971616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304795 (or 11304778 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 29301971616 in words is "twenty-nine billion, three hundred one million, nine hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 11304773 22609546 33914319 45219092 67828638 90438184 101742957 135657276 180876368 203485914 271314552 305228871 361752736 406971828 542629104 610457742 813943656 915686613 1085258208 1220915484 1627887312 1831373226 2441830968 3255774624 3662746452 4883661936 7325492904 9767323872 14650985808 29301971616