Search a number
-
+
19797095808 = 2732723106739
BaseRepresentation
bin10010011011111111…
…111011010110000000
31220002200201200000200
4102123333323112000
5311021024031213
613032240245200
71300406352330
oct223377732600
956080650020
1019797095808
118439a43106
123a06010800
131b36644799
14d5b3890c0
157ad03b273
hex49bffb580

19797095808 has 192 divisors, whose sum is σ = 67937875200. Its totient is φ = 5410335744.

The previous prime is 19797095779. The next prime is 19797095827. The reversal of 19797095808 is 80859079791.

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

It is a super-2 number, since 2×197970958082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 132103 + ... + 238841.

It is an arithmetic number, because the mean of its divisors is an integer number (353843100).

Almost surely, 219797095808 is an apocalyptic number.

19797095808 is a gapful number since it is divisible by the number (18) 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 19797095808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33968937600).

19797095808 is an abundant number, since it is smaller than the sum of its proper divisors (48140779392).

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

19797095808 is a wasteful number, since it uses less digits than its factorization.

19797095808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106789 (or 106774 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 19797095808 in words is "nineteen billion, seven hundred ninety-seven million, ninety-five thousand, eight hundred eight".