Search a number
-
+
10078344183690 = 2325229489002629
BaseRepresentation
bin1001001010101000110000…
…0111111111111110001010
31022200110222010122010212100
42102222030013333332022
52310110422102334230
633233532152454230
72060064523045146
oct222521407777612
938613863563770
1010078344183690
113236224605872
1211693010aa376
135814cb213973
1426bb1a004226
15127262d89660
hex92a8c1fff8a

10078344183690 has 48 divisors (see below), whose sum is σ = 26318121546600. Its totient is φ = 2675822380416.

The previous prime is 10078344183689. The next prime is 10078344183749. The reversal of 10078344183690 is 9638144387001.

10078344183690 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 83 + 441 + 8 + 36 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9858023783001 + 220320400689 = 3139749^2 + 469383^2 .

It is a super-2 number, since 2×100783441836902 (a number of 27 digits) contains 22 as substring.

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, 244480705 + ... + 244521924.

Almost surely, 210078344183690 is an apocalyptic number.

10078344183690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10078344183690 is an abundant number, since it is smaller than the sum of its proper divisors (16239777362910).

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

10078344183690 is a wasteful number, since it uses less digits than its factorization.

10078344183690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489002871 (or 489002868 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10078344183690 in words is "ten trillion, seventy-eight billion, three hundred forty-four million, one hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 489002629 978005258 1467007887 2445013145 2934015774 4401023661 4890026290 7335039435 8802047322 14670078870 22005118305 44010236610 111981602041 223963204082 335944806123 559908010205 671889612246 1007834418369 1119816020410 1679724030615 2015668836738 3359448061230 5039172091845 10078344183690