Search a number
-
+
428418492096 = 2637318763759
BaseRepresentation
bin1100011101111111011…
…10110110011011000000
31111221211012222100101010
412032333232312123000
524004400113221341
6524451315040520
742644416045440
oct6167756663300
91457735870333
10428418492096
11155767085101
126b0445a0140
133152717363a
1416a4256c120
15b226777716
hex63bfbb66c0

428418492096 has 56 divisors (see below), whose sum is σ = 1295455920640. Its totient is φ = 122405283072.

The previous prime is 428418492077. The next prime is 428418492143. The reversal of 428418492096 is 690294814824.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159380536 + ... + 159383223.

It is an arithmetic number, because the mean of its divisors is an integer number (23133141440).

Almost surely, 2428418492096 is an apocalyptic number.

It is an amenable number.

428418492096 is an abundant number, since it is smaller than the sum of its proper divisors (867037428544).

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

428418492096 is a wasteful number, since it uses less digits than its factorization.

428418492096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318763781 (or 318763771 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 428418492096 in words is "four hundred twenty-eight billion, four hundred eighteen million, four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 318763759 637527518 956291277 1275055036 1912582554 2231346313 2550110072 3825165108 4462692626 5100220144 6694038939 7650330216 8925385252 10200440288 13388077878 15300660432 17850770504 20400880576 26776155756 30601320864 35701541008 53552311512 61202641728 71403082016 107104623024 142806164032 214209246048 428418492096