Search a number
-
+
72722756864 = 28535359873
BaseRepresentation
bin100001110111010011…
…1010011010100000000
320221201011200211010102
41003232213103110000
52142414011204424
653224113021532
75153065143212
oct1035647232400
9227634624112
1072722756864
112892911165a
12121168548a8
136b1c56b2a4
14373c4905b2
151d5968d7ae
hex10ee9d3500

72722756864 has 36 divisors (see below), whose sum is σ = 147900363156. Its totient is φ = 35675308032.

The previous prime is 72722756837. The next prime is 72722756881. The reversal of 72722756864 is 46865722727.

It can be written as a sum of positive squares in 2 ways, for example, as 55243801600 + 17478955264 = 235040^2 + 132208^2 .

It is a super-2 number, since 2×727227568642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2666369 + ... + 2693504.

It is an arithmetic number, because the mean of its divisors is an integer number (4108343421).

Almost surely, 272722756864 is an apocalyptic number.

It is an amenable number.

72722756864 is an abundant number, since it is smaller than the sum of its proper divisors (75177606292).

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

72722756864 is an equidigital number, since it uses as much as digits as its factorization.

72722756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359942 (or 5359928 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 56.

The spelling of 72722756864 in words is "seventy-two billion, seven hundred twenty-two million, seven hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 5359873 10719746 21439492 42878984 85757968 171515936 284073269 343031872 568146538 686063744 1136293076 1372127488 2272586152 4545172304 9090344608 18180689216 36361378432 72722756864