Search a number
-
+
10215104445648 = 2432234467302551
BaseRepresentation
bin1001010010100110001110…
…1010111111110011010000
31100011112222012012021111200
42110221203222333303100
52314331013214230043
633420430523511200
72103005545100064
oct224514352776320
940145865167450
1010215104445648
113289224174853
12118b909988500
135913848328ab
142745b1261aa4
1512aab945d7d3
hex94a63abfcd0

10215104445648 has 60 divisors (see below), whose sum is σ = 28588321221408. Its totient is φ = 3405009038400.

The previous prime is 10215104445647. The next prime is 10215104445673. The reversal of 10215104445648 is 84654440151201.

10215104445648 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 510 + 4 + 44 + 56 + 48 = 666.

It is a super-2 number, since 2×102151044456482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215104445647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33611973 + ... + 33914523.

Almost surely, 210215104445648 is an apocalyptic number.

10215104445648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10215104445648 is an abundant number, since it is smaller than the sum of its proper divisors (18373216775760).

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

10215104445648 is a wasteful number, since it uses less digits than its factorization.

10215104445648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537032 (or 537023 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Adding to 10215104445648 its reverse (84654440151201), we get a palindrome (94869544596849).

The spelling of 10215104445648 in words is "ten trillion, two hundred fifteen billion, one hundred four million, four hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 234467 302551 468934 605102 703401 907653 937868 1210204 1406802 1815306 1875736 2110203 2420408 2722959 2813604 3630612 3751472 4220406 4840816 5445918 5627208 7261224 8440812 10891836 11254416 14522448 16881624 21783672 33763248 43567344 70938225317 141876450634 212814675951 283752901268 425629351902 567505802536 638444027853 851258703804 1135011605072 1276888055706 1702517407608 2553776111412 3405034815216 5107552222824 10215104445648