Search a number
-
+
172324604100 = 2235211714211747
BaseRepresentation
bin1010000001111101011…
…0001100100011000100
3121110210121010220110110
42200133112030203010
510310410044312400
6211055334153020
715310235652405
oct2403726144304
9543717126413
10172324604100
116709a823690
12294931b2770
131333373517c
1484aa6ab9ac
15473897be50
hex281f58c8c4

172324604100 has 288 divisors, whose sum is σ = 553206592512. Its totient is φ = 41065920000.

The previous prime is 172324604087. The next prime is 172324604129. The reversal of 172324604100 is 1406423271.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98639427 + ... + 98641173.

It is an arithmetic number, because the mean of its divisors is an integer number (1920856224).

Almost surely, 2172324604100 is an apocalyptic number.

172324604100 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 172324604100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276603296256).

172324604100 is an abundant number, since it is smaller than the sum of its proper divisors (380881988412).

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

172324604100 is a wasteful number, since it uses less digits than its factorization.

172324604100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 172324604100 in words is "one hundred seventy-two billion, three hundred twenty-four million, six hundred four thousand, one hundred".