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7157300020 = 2251352152837
BaseRepresentation
bin1101010101001101…
…11011101100110100
3200110210201111211221
412222212323230310
5104124232100040
63142113440124
7342236021623
oct65246735464
920423644757
107157300020
113043122492
121478b70044
138a0a8c790
144bc7c56ba
152bd53b74a
hex1aa9bbb34

7157300020 has 48 divisors (see below), whose sum is σ = 16217884368. Its totient is φ = 2637573120.

The previous prime is 7157300009. The next prime is 7157300039. The reversal of 7157300020 is 200037517.

It can be written as a sum of positive squares in 8 ways, for example, as 3308090256 + 3849209764 = 57516^2 + 62042^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109042 + ... + 161878.

It is an arithmetic number, because the mean of its divisors is an integer number (337872591).

Almost surely, 27157300020 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 7157300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108942184).

7157300020 is an abundant number, since it is smaller than the sum of its proper divisors (9060584348).

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

7157300020 is a wasteful number, since it uses less digits than its factorization.

7157300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53380 (or 53378 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 7157300020 is about 84600.8275373238. The cubic root of 7157300020 is about 1927.1539409336.

Adding to 7157300020 its reverse (200037517), we get a palindrome (7357337537).

The spelling of 7157300020 in words is "seven billion, one hundred fifty-seven million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 1042 2084 2605 5210 6773 10420 13546 27092 33865 52837 67730 105674 135460 211348 264185 528370 686881 1056740 1373762 2747524 3434405 6868810 13737620 27528077 55056154 110112308 137640385 275280770 357865001 550561540 715730002 1431460004 1789325005 3578650010 7157300020