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683153493961 = 592140092
BaseRepresentation
bin10011111000011110001…
…11110000111111001001
32102022100010211012221211
421330033013300333021
542143044243301321
61241500354133121
7100233115613401
oct11741707607711
92368303735854
10683153493961
112437a6379334
12b04968811a1
134c5621c9b83
14250c9b7d801
1512b851000e1
hex9f0f1f0fc9

683153493961 has 9 divisors (see below), whose sum is σ = 694978228231. Its totient is φ = 671526682384.

The previous prime is 683153493943. The next prime is 683153493983. The reversal of 683153493961 is 169394351386.

It is a happy number.

The square root of 683153493961 is 826531.

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., 538783892361 + 144369601600 = 734019^2 + 379960^2 .

It is not a de Polignac number, because 683153493961 - 213 = 683153485769 is a prime.

It is a super-2 number, since 2×6831534939612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 683153493896 and 683153493905.

It is not an unprimeable number, because it can be changed into a prime (683153493941) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 48758325 + ... + 48772333.

Almost surely, 2683153493961 is an apocalyptic number.

683153493961 is the 826531-st square number.

683153493961 is the 413266-th centered octagonal number.

It is an amenable number.

683153493961 is a deficient number, since it is larger than the sum of its proper divisors (11824734270).

683153493961 is an frugal number, since it uses more digits than its factorization.

683153493961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28136 (or 14068 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 58.

The spelling of 683153493961 in words is "six hundred eighty-three billion, one hundred fifty-three million, four hundred ninety-three thousand, nine hundred sixty-one".

Divisors: 1 59 3481 14009 826531 48765329 196252081 11578872779 683153493961