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15763485140 = 2251327016653
BaseRepresentation
bin11101010111001001…
…11011000111010100
31111200120210000101222
432223210323013110
5224240423011030
611124110105512
71065430261424
oct165344730724
944616700358
1015763485140
11675a092777
12307b1ab298
131642a85800
14a977a6484
15623d773e5
hex3ab93b1d4

15763485140 has 72 divisors (see below), whose sum is σ = 35902136088. Its totient is φ = 5811187200.

The previous prime is 15763485113. The next prime is 15763485149. The reversal of 15763485140 is 4158436751.

It can be written as a sum of positive squares in 12 ways, for example, as 10669237264 + 5094247876 = 103292^2 + 71374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15763485091 and 15763485100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15763485149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2366054 + ... + 2372706.

It is an arithmetic number, because the mean of its divisors is an integer number (498640779).

Almost surely, 215763485140 is an apocalyptic number.

15763485140 is a gapful number since it is divisible by the number (10) 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 15763485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951068044).

15763485140 is an abundant number, since it is smaller than the sum of its proper divisors (20138650948).

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

15763485140 is a wasteful number, since it uses less digits than its factorization.

15763485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 15763485140 in words is "fifteen billion, seven hundred sixty-three million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 701 845 1402 1690 2804 3380 3505 6653 7010 9113 13306 14020 18226 26612 33265 36452 45565 66530 86489 91130 118469 133060 172978 182260 236938 345956 432445 473876 592345 864890 1124357 1184690 1729780 2248714 2369380 4497428 4663753 5621785 9327506 11243570 18655012 22487140 23318765 46637530 60628789 93275060 121257578 242515156 303143945 606287890 788174257 1212575780 1576348514 3152697028 3940871285 7881742570 15763485140