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4942539907200 = 273552717311723
BaseRepresentation
bin100011111101100011001…
…0101011110000010000000
3122111111120002210222100000
41013323012111132002000
51121434310204012300
614302323235200000
71020041514013530
oct107730625360200
918444502728300
104942539907200
111636134a20365
12679a92746000
1329b1058c9a5c
141313123714c0
1588877e7dc00
hex47ec655e080

4942539907200 has 2304 divisors, whose sum is σ = 22858776944640. Its totient is φ = 1028372889600.

The previous prime is 4942539907141. The next prime is 4942539907243. The reversal of 4942539907200 is 27099352494.

4942539907200 is a `hidden beast` number, since 4 + 9 + 42 + 5 + 399 + 0 + 7 + 200 = 666.

It is a super-2 number, since 2×49425399072002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2868565539 + ... + 2868567261.

It is an arithmetic number, because the mean of its divisors is an integer number (9921344160).

Almost surely, 24942539907200 is an apocalyptic number.

4942539907200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4942539907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429388472320).

4942539907200 is an abundant number, since it is smaller than the sum of its proper divisors (17916237037440).

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

4942539907200 is a wasteful number, since it uses less digits than its factorization.

4942539907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4942539907200 in words is "four trillion, nine hundred forty-two billion, five hundred thirty-nine million, nine hundred seven thousand, two hundred".