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836480355649 = 31216321812
BaseRepresentation
bin11000010110000100001…
…11010100110101000001
32221222002202100211002221
430023002013110311001
5102201102432340044
61440135045011041
7114301522465021
oct14130207246501
92858082324087
10836480355649
112a2827398954
121161476b3a81
1360b58aa5033
142c6b32dda81
1516b5acdb484
hexc2c21d4d41

836480355649 has 27 divisors (see below), whose sum is σ = 874500562467. Its totient is φ = 800085956400.

The previous prime is 836480355643. The next prime is 836480355671. The reversal of 836480355649 is 946553084638.

The square root of 836480355649 is 914593.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9217344049 + 827263011600 = 96007^2 + 909540^2 .

It is not a de Polignac number, because 836480355649 - 27 = 836480355521 is a prime.

It is a super-2 number, since 2×8364803556492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (836480355643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4621438339 + ... + 4621438519.

It is an arithmetic number, because the mean of its divisors is an integer number (32388909721).

Almost surely, 2836480355649 is an apocalyptic number.

836480355649 is the 914593-rd square number.

836480355649 is the 457297-th centered octagonal number.

It is an amenable number.

836480355649 is a deficient number, since it is larger than the sum of its proper divisors (38020206818).

836480355649 is an frugal number, since it uses more digits than its factorization.

836480355649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 61.

The spelling of 836480355649 in words is "eight hundred thirty-six billion, four hundred eighty million, three hundred fifty-five thousand, six hundred forty-nine".

Divisors: 1 31 163 181 961 5053 5611 26569 29503 32761 156643 173941 823639 914593 1015591 4808989 5340043 25532809 28352383 31483321 149078659 165541333 870427009 4621438429 5131781323 26983237279 836480355649