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11628611352 = 2332208177611
BaseRepresentation
bin10101101010001111…
…01000011100011000
31010000102021122220100
422311013220130120
5142303411030402
65201521255400
7561111365001
oct126507503430
933012248810
1011628611352
114a28058906
122306494560
131134230127
147c45841a8
15480d5e71c
hex2b51e8718

11628611352 has 48 divisors (see below), whose sum is σ = 31509695880. Its totient is φ = 3874291200.

The previous prime is 11628611329. The next prime is 11628611359. The reversal of 11628611352 is 25311682611.

11628611352 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 611 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628611359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111027 + ... + 188637.

Almost surely, 211628611352 is an apocalyptic number.

11628611352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11628611352 is an abundant number, since it is smaller than the sum of its proper divisors (19881084528).

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

11628611352 is a wasteful number, since it uses less digits than its factorization.

11628611352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79704 (or 79697 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11628611352 in words is "eleven billion, six hundred twenty-eight million, six hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2081 4162 6243 8324 12486 16648 18729 24972 37458 49944 74916 77611 149832 155222 232833 310444 465666 620888 698499 931332 1396998 1862664 2793996 5587992 161508491 323016982 484525473 646033964 969050946 1292067928 1453576419 1938101892 2907152838 3876203784 5814305676 11628611352