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2918320128 = 21132158329
BaseRepresentation
bin1010110111110010…
…0000100000000000
321112101100000121200
42231330200200000
521434042221003
61201325421200
7132214211643
oct25574404000
97471300550
102918320128
111268352119
1269540a800
133767b6659
141d9823a5a
1512130c6a3
hexadf20800

2918320128 has 72 divisors (see below), whose sum is σ = 8428697550. Its totient is φ = 972767232.

The previous prime is 2918320123. The next prime is 2918320169. The reversal of 2918320128 is 8210238192.

It can be written as a sum of positive squares in only one way, i.e., 1808630784 + 1109689344 = 42528^2 + 33312^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2918320092 and 2918320101.

It is not an unprimeable number, because it can be changed into a prime (2918320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60733 + ... + 97596.

Almost surely, 22918320128 is an apocalyptic number.

It is an amenable number.

2918320128 is an abundant number, since it is smaller than the sum of its proper divisors (5510377422).

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

2918320128 is a wasteful number, since it uses less digits than its factorization.

2918320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158357 (or 158334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2918320128 is about 54021.4783951717. The cubic root of 2918320128 is about 1429.0397530747.

The spelling of 2918320128 in words is "two billion, nine hundred eighteen million, three hundred twenty thousand, one hundred twenty-eight".

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 2048 2304 3072 4608 6144 9216 18432 158329 316658 474987 633316 949974 1266632 1424961 1899948 2533264 2849922 3799896 5066528 5699844 7599792 10133056 11399688 15199584 20266112 22799376 30399168 40532224 45598752 60798336 81064448 91197504 121596672 162128896 182395008 243193344 324257792 364790016 486386688 729580032 972773376 1459160064 2918320128