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12006955488 = 2531111370223
BaseRepresentation
bin10110010111010101…
…11001100111100000
31010222210012112111010
423023222321213200
5144042240033423
65303234420520
7603354303063
oct131352714740
933883175433
1012006955488
115101682410
1223b1131740
13119472b6b8
1481c90c8da
154a4196693
hex2cbab99e0

12006955488 has 48 divisors (see below), whose sum is σ = 34383557376. Its totient is φ = 3638471040.

The previous prime is 12006955487. The next prime is 12006955511. The reversal of 12006955488 is 88455960021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×120069554883 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006955487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5684056 + ... + 5686167.

It is an arithmetic number, because the mean of its divisors is an integer number (716324112).

Almost surely, 212006955488 is an apocalyptic number.

It is an amenable number.

12006955488 is an abundant number, since it is smaller than the sum of its proper divisors (22376601888).

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

12006955488 is a wasteful number, since it uses less digits than its factorization.

12006955488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370247 (or 11370239 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 12006955488 in words is "twelve billion, six million, nine hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11370223 22740446 34110669 45480892 68221338 90961784 125072453 136442676 181923568 250144906 272885352 363847136 375217359 500289812 545770704 750434718 1000579624 1091541408 1500869436 2001159248 3001738872 4002318496 6003477744 12006955488