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9141943680 = 273254733769
BaseRepresentation
bin10001000001110011…
…01111110110000000
3212121010011212010200
420200321233312000
5122210314144210
64111051325200
7442355145012
oct104071576600
925533155120
109141943680
113971430661
121931750800
13b28cbb23c
1462a2041b2
153878b90c0
hex220e6fd80

9141943680 has 192 divisors, whose sum is σ = 32240894400. Its totient is φ = 2385911808.

The previous prime is 9141943661. The next prime is 9141943693. The reversal of 9141943680 is 863491419.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253836 + ... + 287604.

It is an arithmetic number, because the mean of its divisors is an integer number (167921325).

Almost surely, 29141943680 is an apocalyptic number.

9141943680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9141943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120447200).

9141943680 is an abundant number, since it is smaller than the sum of its proper divisors (23098950720).

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

9141943680 is a wasteful number, since it uses less digits than its factorization.

9141943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33841 (or 33826 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9141943680 is about 95613.5120158234. The cubic root of 9141943680 is about 2090.9621936493.

The spelling of 9141943680 in words is "nine billion, one hundred forty-one million, nine hundred forty-three thousand, six hundred eighty".