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11673942432 = 253177153151
BaseRepresentation
bin10101101111101001…
…00011100110100000
31010010120120201110020
422313310203212200
5142402012124212
65210221033440
7562201605405
oct126764434640
933116521406
1011673942432
114a506aa809
1223196b5880
131140742359
147ca5c42ac
15484d15d8c
hex2b7d239a0

11673942432 has 48 divisors (see below), whose sum is σ = 32446697472. Its totient is φ = 3662412800.

The previous prime is 11673942421. The next prime is 11673942439. The reversal of 11673942432 is 23424937611.

It is a happy number.

11673942432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11673942439) 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 7 ways as a sum of consecutive naturals, for example, 3574944 + ... + 3578207.

It is an arithmetic number, because the mean of its divisors is an integer number (675972864).

Almost surely, 211673942432 is an apocalyptic number.

11673942432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11673942432 is an abundant number, since it is smaller than the sum of its proper divisors (20772755040).

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

11673942432 is a wasteful number, since it uses less digits than its factorization.

11673942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153181 (or 7153173 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 11673942432 in words is "eleven billion, six hundred seventy-three million, nine hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7153151 14306302 21459453 28612604 42918906 57225208 85837812 114450416 121603567 171675624 228900832 243207134 343351248 364810701 486414268 686702496 729621402 972828536 1459242804 1945657072 2918485608 3891314144 5836971216 11673942432