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11500428672 = 27329983011
BaseRepresentation
bin10101011010111101…
…01001110110000000
31002200111002022022200
422231132221312000
5142023102204142
65141102033200
7554664013365
oct125536516600
932614068280
1011500428672
114971768307
12228b578800
1311137cc8a5
147b153846c
1547498e64c
hex2ad7a9d80

11500428672 has 48 divisors (see below), whose sum is σ = 33093684780. Its totient is φ = 3833475840.

The previous prime is 11500428671. The next prime is 11500428673. The reversal of 11500428672 is 27682400511.

11500428672 is a `hidden beast` number, since 1 + 1 + 500 + 4 + 2 + 86 + 72 = 666.

11500428672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11500428671) and next prime (11500428673).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11500428671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4990354 + ... + 4992657.

Almost surely, 211500428672 is an apocalyptic number.

11500428672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11500428672 is an abundant number, since it is smaller than the sum of its proper divisors (21593256108).

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

11500428672 is an equidigital number, since it uses as much as digits as its factorization.

11500428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983031 (or 9983016 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11500428672 in words is "eleven billion, five hundred million, four hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9983011 19966022 29949033 39932044 59898066 79864088 89847099 119796132 159728176 179694198 239592264 319456352 359388396 479184528 638912704 718776792 958369056 1277825408 1437553584 1916738112 2875107168 3833476224 5750214336 11500428672