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4273018464 = 25311131072909
BaseRepresentation
bin1111111010110001…
…0001011001100000
3102000210102211101010
43332230101121200
532222343042324
61544001340520
7210614025531
oct37654213140
912023384333
104273018464
1118a300a020
129b3037740
135313633c0
142c7702688
151a0204829
hexfeb11660

4273018464 has 192 divisors, whose sum is σ = 13305358080. Its totient is φ = 1183672320.

The previous prime is 4273018441. The next prime is 4273018481. The reversal of 4273018464 is 4648103724.

4273018464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1467442 + ... + 1470350.

It is an arithmetic number, because the mean of its divisors is an integer number (69298740).

Almost surely, 24273018464 is an apocalyptic number.

4273018464 is a gapful number since it is divisible by the number (44) 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 4273018464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652679040).

4273018464 is an abundant number, since it is smaller than the sum of its proper divisors (9032339616).

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

4273018464 is a wasteful number, since it uses less digits than its factorization.

4273018464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4273018464 is about 65368.3292122416. The cubic root of 4273018464 is about 1622.7249854713.

The spelling of 4273018464 in words is "four billion, two hundred seventy-three million, eighteen thousand, four hundred sixty-four".