Search a number
-
+
172710834192 = 2432132331831559
BaseRepresentation
bin1010000011011001011…
…1100011000000010000
3121111210111220102112200
42200312113203000100
510312202433143232
6211201532323200
715322635603561
oct2406627430020
9544714812480
10172710834192
1167278844006
1229580613500
1313395764ca0
148505aca168
15475c82077c
hex28365e3010

172710834192 has 480 divisors, whose sum is σ = 567803658240. Its totient is φ = 48567720960.

The previous prime is 172710834173. The next prime is 172710834199. The reversal of 172710834192 is 291438017271.

It is not an unprimeable number, because it can be changed into a prime (172710834199) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110782309 + ... + 110783867.

It is an arithmetic number, because the mean of its divisors is an integer number (1182924288).

Almost surely, 2172710834192 is an apocalyptic number.

172710834192 is a gapful number since it is divisible by the number (12) 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 172710834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283901829120).

172710834192 is an abundant number, since it is smaller than the sum of its proper divisors (395092824048).

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

172710834192 is a wasteful number, since it uses less digits than its factorization.

172710834192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 172710834192 in words is "one hundred seventy-two billion, seven hundred ten million, eight hundred thirty-four thousand, one hundred ninety-two".