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11348336832 = 26378443703
BaseRepresentation
bin10101001000110100…
…11110000011000000
31002021212220020112120
422210122132003000
5141220133234312
65114030124240
7551136162060
oct124432360300
932255806476
1011348336832
1148a3927478
122248650680
1310bb14a811
147992673a0
1546644a28c
hex2a469e0c0

11348336832 has 56 divisors (see below), whose sum is σ = 34315213056. Its totient is φ = 3242381568.

The previous prime is 11348336821. The next prime is 11348336843. The reversal of 11348336832 is 23863384311.

It is an interprime number because it is at equal distance from previous prime (11348336821) and next prime (11348336843).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 4220508 + ... + 4223195.

Almost surely, 211348336832 is an apocalyptic number.

11348336832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11348336832 is an abundant number, since it is smaller than the sum of its proper divisors (22966876224).

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

11348336832 is an equidigital number, since it uses as much as digits as its factorization.

11348336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443725 (or 8443715 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 11348336832 in words is "eleven billion, three hundred forty-eight million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8443703 16887406 25331109 33774812 50662218 59105921 67549624 101324436 118211842 135099248 177317763 202648872 236423684 270198496 354635526 405297744 472847368 540396992 709271052 810595488 945694736 1418542104 1621190976 1891389472 2837084208 3782778944 5674168416 11348336832