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14768228448 = 25345697619
BaseRepresentation
bin11011100000100000…
…10100100001100000
31102010020000201220000
431300100110201200
5220221131302243
610441234220000
71031653604421
oct156020244140
942106021800
1014768228448
116299309686
122a41a24600
13151481961c
14a01531648
155b67d15d3
hex370414860

14768228448 has 60 divisors (see below), whose sum is σ = 43432957260. Its totient is φ = 4922741952.

The previous prime is 14768228443. The next prime is 14768228459. The reversal of 14768228448 is 84482286741.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14768228394 and 14768228403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768228443) 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 9 ways as a sum of consecutive naturals, for example, 2846218 + ... + 2851401.

It is an arithmetic number, because the mean of its divisors is an integer number (723882621).

Almost surely, 214768228448 is an apocalyptic number.

14768228448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14768228448 is an abundant number, since it is smaller than the sum of its proper divisors (28664728812).

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

14768228448 is an equidigital number, since it uses as much as digits as its factorization.

14768228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697641 (or 5697624 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 14768228448 in words is "fourteen billion, seven hundred sixty-eight million, two hundred twenty-eight thousand, four hundred forty-eight".

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 5697619 11395238 17092857 22790476 34185714 45580952 51278571 68371428 91161904 102557142 136742856 153835713 182323808 205114284 273485712 307671426 410228568 461507139 546971424 615342852 820457136 923014278 1230685704 1640914272 1846028556 2461371408 3692057112 4922742816 7384114224 14768228448