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542273798400 = 28352611932399
BaseRepresentation
bin1111110010000100000…
…10011000000100000000
31220211200222211011202120
413321002002120010000
532341034043022100
61053041145244240
754115023143115
oct7710202300400
91824628734676
10542273798400
11199a82470974
128911a493680
133c1a0300379
141c36379c90c
15e18c0630a0
hex7e42098100

542273798400 has 432 divisors, whose sum is σ = 1829141260800. Its totient is φ = 141439795200.

The previous prime is 542273798399. The next prime is 542273798431. The reversal of 542273798400 is 4897372245.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226040401 + ... + 226042799.

Almost surely, 2542273798400 is an apocalyptic number.

542273798400 is a gapful number since it is divisible by the number (50) 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 542273798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914570630400).

542273798400 is an abundant number, since it is smaller than the sum of its proper divisors (1286867462400).

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

542273798400 is a wasteful number, since it uses less digits than its factorization.

542273798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 542273798400 in words is "five hundred forty-two billion, two hundred seventy-three million, seven hundred ninety-eight thousand, four hundred".