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11672007144 = 233769476233
BaseRepresentation
bin10101101111011010…
…01011000111101000
31010010102221101201220
422313231023013220
5142401013212034
65210111342040
7562146265230
oct126755130750
933112841656
1011672007144
114a4a5a87a6
122318b21920
131140215505
147ca23ccc0
15484a82749
hex2b7b4b1e8

11672007144 has 32 divisors (see below), whose sum is σ = 33348592320. Its totient is φ = 3334859136.

The previous prime is 11672007107. The next prime is 11672007163. The reversal of 11672007144 is 44170027611.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34737949 + ... + 34738284.

It is an arithmetic number, because the mean of its divisors is an integer number (1042143510).

Almost surely, 211672007144 is an apocalyptic number.

11672007144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11672007144 is an abundant number, since it is smaller than the sum of its proper divisors (21676585176).

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

11672007144 is a wasteful number, since it uses less digits than its factorization.

11672007144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69476249 (or 69476245 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 11672007144 in words is "eleven billion, six hundred seventy-two million, seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 69476233 138952466 208428699 277904932 416857398 486333631 555809864 833714796 972667262 1459000893 1667429592 1945334524 2918001786 3890669048 5836003572 11672007144