Search a number
-
+
540818812704 = 25329194259631
BaseRepresentation
bin1111101111010110101…
…00000010111100100000
31220200221121000020121110
413313223110002330200
532330044104001304
61052240532023320
754033665026242
oct7675324027440
91820847006543
10540818812704
111993a6136655
1288993161b40
133bccaa3c0a1
141c266456092
15e10445b289
hex7deb502f20

540818812704 has 48 divisors (see below), whose sum is σ = 1468602817920. Its totient is φ = 174056628480.

The previous prime is 540818812687. The next prime is 540818812759. The reversal of 540818812704 is 407218818045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97127032 + ... + 97132599.

It is an arithmetic number, because the mean of its divisors is an integer number (30595892040).

Almost surely, 2540818812704 is an apocalyptic number.

It is an amenable number.

540818812704 is an abundant number, since it is smaller than the sum of its proper divisors (927784005216).

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

540818812704 is a wasteful number, since it uses less digits than its factorization.

540818812704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194259673 (or 194259665 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 540818812704 in words is "five hundred forty billion, eight hundred eighteen million, eight hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 194259631 388519262 582778893 777038524 1165557786 1554077048 2331115572 3108154096 4662231144 5633529299 6216308192 9324462288 11267058598 16900587897 18648924576 22534117196 33801175794 45068234392 67602351588 90136468784 135204703176 180272937568 270409406352 540818812704