Search a number
-
+
215608931242384 = 242921265832
BaseRepresentation
bin110001000001100001011101…
…110000011101000110010000
31001021102000100010112121121011
4301001201131300131012100
5211230014042344224014
62042321213044540304
763262142211622651
oct6101413560350620
91037360303477534
10215608931242384
1162777263855a79
12202225569b1694
13933cab1593c64
143b357569b7528
1519dd73a6ba7c4
hexc4185dc1d190

215608931242384 has 45 divisors (see below), whose sum is σ = 432647350153473. Its totient is φ = 104086247971776.

The previous prime is 215608931242357. The next prime is 215608931242399. The reversal of 215608931242384 is 483242139806512.

The square root of 215608931242384 is 14683628.

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

It can be written as a sum of positive squares in only one way, i.e., 113060093552784 + 102548837689600 = 10632972^2 + 10126640^2 .

It is a super-2 number, since 2×2156089312423842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1703237557 + ... + 1703364139.

Almost surely, 2215608931242384 is an apocalyptic number.

215608931242384 is the 14683628-th square number.

It is an amenable number.

215608931242384 is an abundant number, since it is smaller than the sum of its proper divisors (217038418911089).

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

215608931242384 is an frugal number, since it uses more digits than its factorization.

215608931242384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253232 (or 126614 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 215608931242384 in words is "two hundred fifteen trillion, six hundred eight billion, nine hundred thirty-one million, two hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 126583 253166 506332 1012664 2025328 3670907 7341814 14683628 29367256 58734512 106456303 212912606 425825212 851650424 1703300848 16023255889 32046511778 64093023556 128186047112 256372094224 464674420781 929348841562 1858697683124 3717395366248 7434790732496 13475558202649 26951116405298 53902232810596 107804465621192 215608931242384