Search a number
-
+
100491462656 = 211133774469
BaseRepresentation
bin101110110010111000…
…0100000100000000000
3100121101102102020021022
41131211300200200000
53121301303301111
6114055400445012
710155162224144
oct1354560404000
9317342366238
10100491462656
11396888a1292
1217586479768
139626595950
144c14433224
1529324682db
hex1765c20800

100491462656 has 48 divisors (see below), whose sum is σ = 216390365100. Its totient is φ = 46380662784.

The previous prime is 100491462641. The next prime is 100491462661. The reversal of 100491462656 is 656264194001.

It can be written as a sum of positive squares in 2 ways, for example, as 99048678400 + 1442784256 = 314720^2 + 37984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1860611 + ... + 1913858.

Almost surely, 2100491462656 is an apocalyptic number.

100491462656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100491462656 is an abundant number, since it is smaller than the sum of its proper divisors (115898902444).

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

100491462656 is an equidigital number, since it uses as much as digits as its factorization.

100491462656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774504 (or 3774484 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 100491462656 in words is "one hundred billion, four hundred ninety-one million, four hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 3774469 7548938 15097876 30195752 49068097 60391504 98136194 120783008 196272388 241566016 392544776 483132032 785089552 966264064 1570179104 1932528128 3140358208 3865056256 6280716416 7730112512 12561432832 25122865664 50245731328 100491462656