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12088782601 = 7211321392
BaseRepresentation
bin10110100001000110…
…00010111100001001
31011012111011210011221
423100203002330021
5144224212020401
65315320322041
7605366646100
oct132043027411
934174153157
1012088782601
115143891325
122414613321
1311a867b5cc
1482972d037
154ab45b7a1
hex2d08c2f09

12088782601 has 27 divisors (see below), whose sum is σ = 14290815591. Its totient is φ = 10196230464.

The previous prime is 12088782527. The next prime is 12088782631. The reversal of 12088782601 is 10628788021.

The square root of 12088782601 is 109949.

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., 213014025 + 11875768576 = 14595^2 + 108976^2 .

It is not a de Polignac number, because 12088782601 - 29 = 12088782089 is a prime.

It is a super-2 number, since 2×120887826012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12088782631) 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, 86969590 + ... + 86969728.

Almost surely, 212088782601 is an apocalyptic number.

12088782601 is the 109949-th square number.

12088782601 is the 54975-th centered octagonal number.

It is an amenable number.

12088782601 is a deficient number, since it is larger than the sum of its proper divisors (2202032990).

12088782601 is an frugal number, since it uses more digits than its factorization.

12088782601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 12088782601 in words is "twelve billion, eighty-eight million, seven hundred eighty-two thousand, six hundred one".

Divisors: 1 7 49 113 139 791 973 5537 6811 12769 15707 19321 89383 109949 135247 625681 769643 946729 1774891 2183273 12424237 15282911 86969659 106980377 246709849 1726968943 12088782601