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11690148420 = 223457216141
BaseRepresentation
bin10101110001100100…
…11000001001000100
31010011201002001220000
422320302120021010
5142420134222140
65212000241300
7562456423236
oct127062301104
933151061800
1011690148420
114a59869595
122323010230
131143bc78b2
147cc802256
15486467a30
hex2b8c98244

11690148420 has 60 divisors (see below), whose sum is σ = 36672433644. Its totient is φ = 3117372480.

The previous prime is 11690148419. The next prime is 11690148497. The reversal of 11690148420 is 2484109611.

11690148420 is a `hidden beast` number, since 1 + 1 + 6 + 90 + 148 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8440464384 + 3249684036 = 91872^2 + 57006^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3606451 + ... + 3609690.

Almost surely, 211690148420 is an apocalyptic number.

11690148420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11690148420 is an abundant number, since it is smaller than the sum of its proper divisors (24982285224).

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

11690148420 is a wasteful number, since it uses less digits than its factorization.

11690148420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216162 (or 7216151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11690148420 in words is "eleven billion, six hundred ninety million, one hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7216141 14432282 21648423 28864564 36080705 43296846 64945269 72161410 86593692 108242115 129890538 144322820 194835807 216484230 259781076 324726345 389671614 432968460 584507421 649452690 779343228 974179035 1169014842 1298905380 1948358070 2338029684 2922537105 3896716140 5845074210 11690148420