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5201139388140 = 22325317114299187
BaseRepresentation
bin100101110101111110000…
…0100001100111011101100
3200102020001100100201121100
41023223330010030323230
51140203413140410030
615021212003403100
71044525040231353
oct113537404147354
920366040321540
105201139388140
111725877655953
12700023083490
132b96084752b7
1413da44cda99a
1590460c0c360
hex4bafc10ceec

5201139388140 has 288 divisors, whose sum is σ = 16528450498560. Its totient is φ = 1322254886400.

The previous prime is 5201139388111. The next prime is 5201139388169. The reversal of 5201139388140 is 418839311025.

5201139388140 is a `hidden beast` number, since 520 + 1 + 1 + 3 + 9 + 3 + 8 + 81 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5201139388111) and next prime (5201139388169).

It is a super-2 number, since 2×52011393881402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566136627 + ... + 566145813.

It is an arithmetic number, because the mean of its divisors is an integer number (57390453120).

Almost surely, 25201139388140 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 5201139388140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264225249280).

5201139388140 is an abundant number, since it is smaller than the sum of its proper divisors (11327311110420).

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

5201139388140 is a wasteful number, since it uses less digits than its factorization.

5201139388140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5201139388140 in words is "five trillion, two hundred one billion, one hundred thirty-nine million, three hundred eighty-eight thousand, one hundred forty".