Search a number
-
+
152530245264056 = 231133711923126737
BaseRepresentation
bin100010101011100110110111…
…000101100010001010111000
3202000001202020001022222001012
4202223212313011202022320
5124443023420241422211
61300223232145213052
744061642445505402
oct4253466705421270
9660052201288035
10152530245264056
1144667793aa6040
1215135472631188
136715704387caa
142994708d3db72
1512979dd464d8b
hex8ab9b71622b8

152530245264056 has 64 divisors (see below), whose sum is σ = 312114137103360. Its totient is φ = 69305166144000.

The previous prime is 152530245264031. The next prime is 152530245264071. The reversal of 152530245264056 is 650462542035251.

It is a happy number.

It is a super-2 number, since 2×1525302452640562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152530245263995 and 152530245264013.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5704824320 + ... + 5704851056.

It is an arithmetic number, because the mean of its divisors is an integer number (4876783392240).

Almost surely, 2152530245264056 is an apocalyptic number.

It is an amenable number.

152530245264056 is an abundant number, since it is smaller than the sum of its proper divisors (159583891839304).

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

152530245264056 is a wasteful number, since it uses less digits than its factorization.

152530245264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49356 (or 49352 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 50.

The spelling of 152530245264056 in words is "one hundred fifty-two trillion, five hundred thirty billion, two hundred forty-five million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 3371 6742 13484 19231 26737 26968 37081 38462 53474 74162 76924 106948 148324 153848 211541 213896 294107 296648 423082 588214 846164 1176428 1692328 2352856 64827701 90130427 129655402 180260854 259310804 360521708 514179247 518621608 713104711 721043416 991434697 1028358494 1426209422 1982869394 2056716988 2852418844 3965738788 4113433976 5655971717 5704837688 7931477576 11311943434 22623886868 45247773736 1733298241637 3466596483274 6933192966548 13866385933096 19066280658007 38132561316014 76265122632028 152530245264056