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4934931120 = 2432572433253
BaseRepresentation
bin1001001100010010…
…10001001010110000
3110201220221110211200
410212021101022300
540101320243440
62133404411200
7233202136200
oct44611211260
913656843750
104934931120
112102704879
12b58846b00
136085286b2
1434b5a4400
151dd3a1c30
hex1262512b0

4934931120 has 360 divisors, whose sum is σ = 19733375376. Its totient is φ = 1101413376.

The previous prime is 4934931119. The next prime is 4934931121. The reversal of 4934931120 is 211394394.

4934931120 is a `hidden beast` number, since 49 + 3 + 493 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (4934931119) and next prime (4934931121).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4934931121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1515414 + ... + 1518666.

Almost surely, 24934931120 is an apocalyptic number.

4934931120 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 4934931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866687688).

4934931120 is an abundant number, since it is smaller than the sum of its proper divisors (14798444256).

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

4934931120 is a wasteful number, since it uses less digits than its factorization.

4934931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4934931120 is about 70249.0649048085. The cubic root of 4934931120 is about 1702.5257863832.

The spelling of 4934931120 in words is "four billion, nine hundred thirty-four million, nine hundred thirty-one thousand, one hundred twenty".