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54972826100 = 2252549728261
BaseRepresentation
bin110011001100101000…
…101100000111110100
312020220011001220121022
4303030220230013310
51400041020413400
641130522240312
73654164212013
oct631450540764
9166804056538
1054972826100
112134a7aa995
12a7a2356098
1352510a5a8a
142936d5aa7a
15166b22eb85
hexccca2c1f4

54972826100 has 18 divisors (see below), whose sum is σ = 119291032854. Its totient is φ = 21989130400.

The previous prime is 54972826093. The next prime is 54972826123. The reversal of 54972826100 is 162827945.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13001928676 + 41970897424 = 114026^2 + 204868^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274864031 + ... + 274864230.

It is an arithmetic number, because the mean of its divisors is an integer number (6627279603).

Almost surely, 254972826100 is an apocalyptic number.

54972826100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54972826100 is an abundant number, since it is smaller than the sum of its proper divisors (64318206754).

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

54972826100 is a wasteful number, since it uses less digits than its factorization.

54972826100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549728275 (or 549728268 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 54972826100 in words is "fifty-four billion, nine hundred seventy-two million, eight hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 549728261 1099456522 2198913044 2748641305 5497282610 10994565220 13743206525 27486413050 54972826100