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9144929472 = 2637371731063
BaseRepresentation
bin10001000010001010…
…01000110011000000
3212121022210112212120
420201011020303000
5122212100220342
64111235324240
7442422421650
oct104105106300
925538715776
109144929472
11397308a958
121932750680
13b297c5293
1462a780360
15387ca8aec
hex221148cc0

9144929472 has 224 divisors, whose sum is σ = 28590922752. Its totient is φ = 2525147136.

The previous prime is 9144929461. The next prime is 9144929489. The reversal of 9144929472 is 2749294419.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8602413 + ... + 8603475.

It is an arithmetic number, because the mean of its divisors is an integer number (127638048).

Almost surely, 29144929472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295461376).

9144929472 is an abundant number, since it is smaller than the sum of its proper divisors (19445993280).

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

9144929472 is a wasteful number, since it uses less digits than its factorization.

9144929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 9144929472 is about 95629.1246012427. The cubic root of 9144929472 is about 2091.1898074862.

The spelling of 9144929472 in words is "nine billion, one hundred forty-four million, nine hundred twenty-nine thousand, four hundred seventy-two".