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42847799040 = 2833510711587
BaseRepresentation
bin100111111001111011…
…011000011100000000
311002121010200201101000
4213321323120130000
51200223014032130
631403425012000
73044544165624
oct477173303400
9132533621330
1042847799040
1117198513672
128379784000
13406b077157
1421068b5184
1511aba14260
hex9f9ed8700

42847799040 has 288 divisors, whose sum is σ = 153484450560. Its totient is φ = 11318317056.

The previous prime is 42847799021. The next prime is 42847799123. The reversal of 42847799040 is 4099774824.

It is a happy number.

42847799040 is a `hidden beast` number, since 42 + 8 + 477 + 9 + 90 + 40 = 666.

42847799040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3692127 + ... + 3703713.

It is an arithmetic number, because the mean of its divisors is an integer number (532932120).

Almost surely, 242847799040 is an apocalyptic number.

42847799040 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 42847799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76742225280).

42847799040 is an abundant number, since it is smaller than the sum of its proper divisors (110636651520).

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

42847799040 is a wasteful number, since it uses less digits than its factorization.

42847799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42847799040 in words is "forty-two billion, eight hundred forty-seven million, seven hundred ninety-nine thousand, forty".