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11605421412 = 22321324797909
BaseRepresentation
bin10101100111011110…
…01010110101100100
31002221210122111021200
422303233022311210
5142231441441122
65155332242500
7560410311564
oct126357126544
932853574250
1011605421412
114a15a59972
1222ba770430
13112c4a0a80
147c1468da4
1547dccd5ac
hex2b3bcad64

11605421412 has 36 divisors (see below), whose sum is σ = 31592537340. Its totient is φ = 3570898752.

The previous prime is 11605421411. The next prime is 11605421413. The reversal of 11605421412 is 21412450611.

11605421412 is a `hidden beast` number, since 1 + 1 + 605 + 42 + 1 + 4 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11605421411) and next prime (11605421413).

It can be written as a sum of positive squares in 2 ways, for example, as 3094251876 + 8511169536 = 55626^2 + 92256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11605421411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12398487 + ... + 12399422.

Almost surely, 211605421412 is an apocalyptic number.

11605421412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11605421412 is an abundant number, since it is smaller than the sum of its proper divisors (19987115928).

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

11605421412 is a wasteful number, since it uses less digits than its factorization.

11605421412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24797932 (or 24797927 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11605421412 in words is "eleven billion, six hundred five million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 24797909 49595818 74393727 99191636 148787454 223181181 297574908 322372817 446362362 644745634 892724724 967118451 1289491268 1934236902 2901355353 3868473804 5802710706 11605421412