Search a number
-
+
100709694718084 = 223892128992
BaseRepresentation
bin10110111001100001001101…
…100101000100000010000100
3111012120202022210010122002101
4112321201031211010002010
5101200011423321434314
6554105221155321444
730133015055542054
oct2671411545040204
9435522283118071
10100709694718084
112a0a8818198a81
12b366268bb0284
134426b63c7335a
141ac25378cd564
15b99a54a31174
hex5b984d944084

100709694718084 has 27 divisors (see below), whose sum is σ = 176709894128677. Its totient is φ = 50221506706928.

The previous prime is 100709694718079. The next prime is 100709694718163. The reversal of 100709694718084 is 480817496907001.

The square root of 100709694718084 is 10035422.

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

100709694718084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23773640175684 + 76936054542400 = 4875822^2 + 8771320^2 .

It is a super-2 number, since 2×1007096947180842 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7807551867 + ... + 7807564765.

Almost surely, 2100709694718084 is an apocalyptic number.

100709694718084 is the 10035422-nd square number.

It is an amenable number.

100709694718084 is a deficient number, since it is larger than the sum of its proper divisors (76000199410593).

100709694718084 is an frugal number, since it uses more digits than its factorization.

100709694718084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26580 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 64.

The spelling of 100709694718084 in words is "one hundred trillion, seven hundred nine billion, six hundred ninety-four million, seven hundred eighteen thousand, eighty-four".

Divisors: 1 2 4 389 778 1556 12899 25798 51596 151321 302642 605284 5017711 10035422 20070844 166384201 332768402 665536804 1951889579 3903779158 7807558316 64723454189 129446908378 258893816756 25177423679521 50354847359042 100709694718084