Search a number
-
+
73546875354012 = 22312795311506333
BaseRepresentation
bin10000101110001111110111…
…011000010011101110011100
3100122102000100012100110121220
4100232033313120103232130
534114443000042312022
6420230545035453340
721330405063505254
oct2056176730235634
9318360305313556
1073546875354012
1121486066857595
1282b9a638b7250
133206595c7a328
14142398b300964
158781ca24b85c
hex42e3f7613b9c

73546875354012 has 48 divisors (see below), whose sum is σ = 172962787049472. Its totient is φ = 24322285471680.

The previous prime is 73546875353929. The next prime is 73546875354019. The reversal of 73546875354012 is 21045357864537.

It is a super-2 number, since 2×735468753540122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73546875354019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145000798 + ... + 145507130.

It is an arithmetic number, because the mean of its divisors is an integer number (3603391396864).

Almost surely, 273546875354012 is an apocalyptic number.

It is an amenable number.

73546875354012 is an abundant number, since it is smaller than the sum of its proper divisors (99415911695460).

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

73546875354012 is a wasteful number, since it uses less digits than its factorization.

73546875354012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601778 (or 601776 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 60.

The spelling of 73546875354012 in words is "seventy-three trillion, five hundred forty-six billion, eight hundred seventy-five million, three hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 95311 190622 285933 381244 506333 571866 1012666 1143732 1518999 2025332 3037998 6075996 12104497 24208994 36313491 48417988 64304291 72626982 128608582 145253964 192912873 257217164 385825746 771651492 48259104563 96518209126 144777313689 193036418252 289554627378 579109254756 6128906279501 12257812559002 18386718838503 24515625118004 36773437677006 73546875354012