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54763404052900 = 22527400232
BaseRepresentation
bin11000111001110100110010…
…01111101100100110100100
321011220022220210020222021111
430130322121033230212210
524134220422414143100
6312245543245354404
714351345130003034
oct1434723117544644
9234808823228244
1054763404052900
11164a40359aa774
126185621268a04
13247322272a2ba
14d747c48458c4
1564e7c61cd6ba
hex31ce993ec9a4

54763404052900 has 27 divisors (see below), whose sum is σ = 118836747380001. Its totient is φ = 21905332020240.

The previous prime is 54763404052879. The next prime is 54763404052913. The reversal of 54763404052900 is 925040436745.

The square root of 54763404052900 is 7400230.

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., 19714825459044 + 35048578593856 = 4440138^2 + 5920184^2 .

It is a super-2 number, since 2×547634040529002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73632289 + ... + 74372311.

Almost surely, 254763404052900 is an apocalyptic number.

54763404052900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54763404052900 is the 7400230-th square number.

It is an amenable number.

54763404052900 is an abundant number, since it is smaller than the sum of its proper divisors (64073343327101).

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

54763404052900 is an frugal number, since it uses more digits than its factorization.

54763404052900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480060 (or 740030 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 54763404052900 in words is "fifty-four trillion, seven hundred sixty-three billion, four hundred four million, fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 740023 1480046 2960092 3700115 7400230 14800460 18500575 37001150 74002300 547634040529 1095268081058 2190536162116 2738170202645 5476340405290 10952680810580 13690851013225 27381702026450 54763404052900