Search a number
-
+
19994256960 = 2635234321059
BaseRepresentation
bin10010100111110000…
…000010011001000000
31220121102201111021120
4102213300002121000
5311422012210320
613104002152240
71305322244226
oct224760023100
956542644246
1019994256960
118530267207
123a60052680
131b684468a2
14d7962cb16
157c04d4440
hex4a7c02640

19994256960 has 224 divisors, whose sum is σ = 67785569280. Its totient is φ = 4981143552.

The previous prime is 19994256913. The next prime is 19994256967. The reversal of 19994256960 is 6965249991.

It is a super-2 number, since 2×199942569602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 19994256894 and 19994256903.

It is not an unprimeable number, because it can be changed into a prime (19994256967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938911 + ... + 959969.

Almost surely, 219994256960 is an apocalyptic number.

19994256960 is a gapful number since it is divisible by the number (10) 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 19994256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892784640).

19994256960 is an abundant number, since it is smaller than the sum of its proper divisors (47791312320).

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

19994256960 is a wasteful number, since it uses less digits than its factorization.

19994256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21145 (or 21135 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 19994256960 in words is "nineteen billion, nine hundred ninety-four million, two hundred fifty-six thousand, nine hundred sixty".