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5142706920 = 23325137315053
BaseRepresentation
bin1001100101000011…
…10111101011101000
3111021101220120122200
410302201313223220
541013013110140
62210150020200
7241304200431
oct46241675350
914241816580
105142706920
1121a9a1890a
12bb6347660
1363c5a6060
1436b00c488
15201745030
hex132877ae8

5142706920 has 192 divisors, whose sum is σ = 18247254480. Its totient is φ = 1248473088.

The previous prime is 5142706903. The next prime is 5142706939. The reversal of 5142706920 is 296072415.

It can be written as a sum of positive squares in 8 ways, for example, as 2849637924 + 2293068996 = 53382^2 + 47886^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334114 + ... + 349166.

Almost surely, 25142706920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142706920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123627240).

5142706920 is an abundant number, since it is smaller than the sum of its proper divisors (13104547560).

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

5142706920 is a wasteful number, since it uses less digits than its factorization.

5142706920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15156 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5142706920 is about 71712.6691735847. The cubic root of 5142706920 is about 1726.0919412852.

The spelling of 5142706920 in words is "five billion, one hundred forty-two million, seven hundred six thousand, nine hundred twenty".