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4976349120 = 263253494951
BaseRepresentation
bin1001010001001110…
…10000111111000000
3110211210212201122200
410220213100333000
540142421132440
62141444233200
7234214161321
oct45047207700
913753781580
104976349120
112124023826
12b6a69b800
13613c9a7a2
14352ca6448
151e1d33c30
hex1289d0fc0

4976349120 has 168 divisors, whose sum is σ = 17169079200. Its totient is φ = 1322956800.

The previous prime is 4976349101. The next prime is 4976349139. The reversal of 4976349120 is 219436794.

It is a happy number.

4976349120 is a `hidden beast` number, since 4 + 9 + 7 + 634 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4976349101) and next prime (4976349139).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002645 + ... + 1007595.

It is an arithmetic number, because the mean of its divisors is an integer number (102196900).

Almost surely, 24976349120 is an apocalyptic number.

4976349120 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 4976349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584539600).

4976349120 is an abundant number, since it is smaller than the sum of its proper divisors (12192730080).

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

4976349120 is a wasteful number, since it uses less digits than its factorization.

4976349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4976349120 is about 70543.2429081624. The cubic root of 4976349120 is about 1707.2755219679.

The spelling of 4976349120 in words is "four billion, nine hundred seventy-six million, three hundred forty-nine thousand, one hundred twenty".