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96344177144369 = 71173137125109797
BaseRepresentation
bin10101111001111111100000…
…011101000111001000110001
3110122010102011100122022102212
4111321333200131013020301
5100112000333322104434
6540523523131221505
726202431344451660
oct2571774035071061
9418112140568385
1096344177144369
1128775377346280
12a980191ba7895
13419b2a876422b
1419b1123c88dd7
15b211ee5728ce
hex579fe0747231

96344177144369 has 32 divisors (see below), whose sum is σ = 122651640688896. Its totient is φ = 73504507345920.

The previous prime is 96344177144323. The next prime is 96344177144377.

96344177144369 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96344177144369 - 236 = 96275457667633 is a prime.

It is a super-2 number, since 2×963441771443692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96344177144299 and 96344177144308.

It is not an unprimeable number, because it can be changed into a prime (96344177144399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61784822 + ... + 63324975.

It is an arithmetic number, because the mean of its divisors is an integer number (3832863771528).

Almost surely, 296344177144369 is an apocalyptic number.

It is an amenable number.

96344177144369 is a deficient number, since it is larger than the sum of its proper divisors (26307463544527).

96344177144369 is a wasteful number, since it uses less digits than its factorization.

96344177144369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125110025.

The product of its digits is 329204736, while the sum is 68.

The spelling of 96344177144369 in words is "ninety-six trillion, three hundred forty-four billion, one hundred seventy-seven million, one hundred forty-four thousand, three hundred sixty-nine".

Divisors: 1 7 11 73 77 137 511 803 959 1507 5621 10001 10549 70007 110011 770077 125109797 875768579 1376207767 9133015181 9633454369 17140042189 63931106267 100463166991 119980295323 188540464079 703242168937 1251223079797 1319783248553 8758561558579 13763453877767 96344177144369