Search a number
-
+
195208680324100 = 2252283249372
BaseRepresentation
bin101100011000101010010000…
…000011000011110000000100
3221121011202201120100202202211
4230120222100003003300010
5201041244334130332400
61531101344004313204
756055235035121612
oct5430522003036004
9847152646322684
10195208680324100
1157221599a65a63
1219a889000a2804
1384c013a99a541
14362c21711c6b2
151787c5bdc4dba
hexb18a900c3c04

195208680324100 has 81 divisors (see below), whose sum is σ = 425191078631487. Its totient is φ = 77791798711680.

The previous prime is 195208680324071. The next prime is 195208680324101. The reversal of 195208680324100 is 1423086802591.

The square root of 195208680324100 is 13971710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8277002412484 + 186931677911616 = 2876978^2 + 13672296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195208680324101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39539936832 + ... + 39539941768.

Almost surely, 2195208680324100 is an apocalyptic number.

195208680324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195208680324100 is the 13971710-th square number.

It is an amenable number.

195208680324100 is an abundant number, since it is smaller than the sum of its proper divisors (229982398307387).

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

195208680324100 is an frugal number, since it uses more digits than its factorization.

195208680324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 195208680324100 in words is "one hundred ninety-five trillion, two hundred eight billion, six hundred eighty million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 566 1132 1415 2830 4937 5660 7075 9874 14150 19748 24685 28300 49370 80089 98740 123425 160178 246850 320356 400445 493700 800890 1397171 1601780 2002225 2794342 4004450 5588684 6985855 8008900 13971710 24373969 27943420 34929275 48747938 69858550 97495876 121869845 139717100 243739690 395399393 487479380 609349225 790798786 1218698450 1581597572 1976996965 2437396900 3953993930 6897833227 7907987860 9884984825 13795666454 19769969650 27591332908 34489166135 39539939300 68978332270 137956664540 172445830675 344891661350 689783322700 1952086803241 3904173606482 7808347212964 9760434016205 19520868032410 39041736064820 48802170081025 97604340162050 195208680324100