Search a number
-
+
9919718016 = 273131987123
BaseRepresentation
bin10010011110100001…
…01110001010000000
3221121022200212221120
421033100232022000
5130303421434031
64320153552240
7500551132455
oct111720561200
927538625846
109919718016
114230470a6a
121b0a115680
13c2118b940
146a162582c
153d0d00a96
hex24f42e280

9919718016 has 64 divisors (see below), whose sum is σ = 28376130720. Its totient is φ = 3052219392.

The previous prime is 9919717979. The next prime is 9919718021. The reversal of 9919718016 is 6108179199.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9919718016.

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, 988570 + ... + 998553.

Almost surely, 29919718016 is an apocalyptic number.

9919718016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9919718016 is an abundant number, since it is smaller than the sum of its proper divisors (18456412704).

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

9919718016 is a wasteful number, since it uses less digits than its factorization.

9919718016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987153 (or 1987141 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 51.

The square root of 9919718016 is about 99597.7811801046. The cubic root of 9919718016 is about 2148.6537825199.

The spelling of 9919718016 in words is "nine billion, nine hundred nineteen million, seven hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 1987123 3974246 5961369 7948492 11922738 15896984 23845476 25832599 31793968 47690952 51665198 63587936 77497797 95381904 103330396 127175872 154995594 190763808 206660792 254351744 309991188 381527616 413321584 619982376 763055232 826643168 1239964752 1653286336 2479929504 3306572672 4959859008 9919718016