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11890900008 = 2333134234651
BaseRepresentation
bin10110001001100000…
…01011110000101000
31010200200211022022000
423010300023300220
5143323032300013
65243531131000
7600444660651
oct130460136050
933620738260
1011890900008
115052115199
12237a2a3a60
131176686010
1480b33c528
15498dbe973
hex2c4c0bc28

11890900008 has 64 divisors (see below), whose sum is σ = 35571076800. Its totient is φ = 3658737600.

The previous prime is 11890900001. The next prime is 11890900009. The reversal of 11890900008 is 80000909811.

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

It is not an unprimeable number, because it can be changed into a prime (11890900001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114518 + ... + 2120133.

It is an arithmetic number, because the mean of its divisors is an integer number (555798075).

Almost surely, 211890900008 is an apocalyptic number.

11890900008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11890900008 is an abundant number, since it is smaller than the sum of its proper divisors (23680176792).

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

11890900008 is a wasteful number, since it uses less digits than its factorization.

11890900008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234679 (or 4234669 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11890900008 in words is "eleven billion, eight hundred ninety million, nine hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4234651 8469302 12703953 16938604 25407906 33877208 38111859 50815812 55050463 76223718 101631624 110100926 114335577 152447436 165151389 220201852 228671154 304894872 330302778 440403704 457342308 495454167 660605556 914684616 990908334 1321211112 1486362501 1981816668 2972725002 3963633336 5945450004 11890900008