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768553461456 = 243111455593677
BaseRepresentation
bin10110010111100010101…
…10110010011011010000
32201110202210221001202220
423023301112302123100
5100042444141231311
61345022451541040
7106345320430434
oct13136126623320
92643683831686
10768553461456
11276a3a435970
12104b4abba780
1357621cc0111
14292abb729c4
1514ed26ce206
hexb2f15b26d0

768553461456 has 40 divisors (see below), whose sum is σ = 2165923392864. Its totient is φ = 232894988160.

The previous prime is 768553461451. The next prime is 768553461461. The reversal of 768553461456 is 654164355867.

It is a happy number.

768553461456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768553461451) and next prime (768553461461).

It is a self number, because there is not a number n which added to its sum of digits gives 768553461456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768553461451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727796311 + ... + 727797366.

Almost surely, 2768553461456 is an apocalyptic number.

It is an amenable number.

768553461456 is an abundant number, since it is smaller than the sum of its proper divisors (1397369931408).

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

768553461456 is a wasteful number, since it uses less digits than its factorization.

768553461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455593699 (or 1455593693 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 768553461456 in words is "seven hundred sixty-eight billion, five hundred fifty-three million, four hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1455593677 2911187354 4366781031 5822374708 8733562062 11644749416 16011530447 17467124124 23289498832 32023060894 34934248248 48034591341 64046121788 69868496496 96069182682 128092243576 192138365364 256184487152 384276730728 768553461456