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5153685140 = 2251571641301
BaseRepresentation
bin1001100110010111…
…01111111010010100
3111022011120022221102
410303023233322110
541023320411030
62211221205232
7241466413052
oct46313577224
914264508842
105153685140
112205136a1a
12bb9b60818
1364194ac46
1436c6691d2
152026b2c45
hex1332efe94

5153685140 has 24 divisors (see below), whose sum is σ = 10891680072. Its totient is φ = 2048342400.

The previous prime is 5153685137. The next prime is 5153685197. The reversal of 5153685140 is 415863515.

It can be written as a sum of positive squares in 4 ways, for example, as 1194255364 + 3959429776 = 34558^2 + 62924^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5153685094 and 5153685103.

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 7 ways as a sum of consecutive naturals, for example, 817511 + ... + 823790.

It is an arithmetic number, because the mean of its divisors is an integer number (453820003).

Almost surely, 25153685140 is an apocalyptic number.

It is an amenable number.

5153685140 is an abundant number, since it is smaller than the sum of its proper divisors (5737994932).

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

5153685140 is a wasteful number, since it uses less digits than its factorization.

5153685140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641467 (or 1641465 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 5153685140 is about 71789.1714675688. The cubic root of 5153685140 is about 1727.3193071750.

The spelling of 5153685140 in words is "five billion, one hundred fifty-three million, six hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 1641301 3282602 6565204 8206505 16413010 32826020 257684257 515368514 1030737028 1288421285 2576842570 5153685140