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5280967746 = 2333712132179
BaseRepresentation
bin1001110101100010…
…10010110001000010
3111122001001221212000
410322301102301002
541303411431441
62232005244430
7244603325265
oct47261226102
914561057760
105280967746
11226aa7225a
121034703716
136621248b2
1438151ccdc
1520d9562b6
hex13ac52c42

5280967746 has 64 divisors (see below), whose sum is σ = 12068131200. Its totient is φ = 1710548928.

The previous prime is 5280967733. The next prime is 5280967751. The reversal of 5280967746 is 6477690825.

5280967746 is a `hidden beast` number, since 528 + 0 + 9 + 6 + 77 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5280967692 and 5280967701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422485 + ... + 2424663.

It is an arithmetic number, because the mean of its divisors is an integer number (188564550).

Almost surely, 25280967746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5280967746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034065600).

5280967746 is an abundant number, since it is smaller than the sum of its proper divisors (6787163454).

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

5280967746 is a wasteful number, since it uses less digits than its factorization.

5280967746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5280967746 is about 72670.2672762389. The cubic root of 5280967746 is about 1741.4239176626.

The spelling of 5280967746 in words is "five billion, two hundred eighty million, nine hundred sixty-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1213 1998 2179 2426 3639 4358 6537 7278 10917 13074 19611 21834 32751 39222 44881 58833 65502 80623 89762 117666 134643 161246 241869 269286 403929 483738 725607 807858 1211787 1451214 2176821 2423574 2643127 4353642 5286254 7929381 15858762 23788143 47576286 71364429 97795699 142728858 195591398 293387097 586774194 880161291 1760322582 2640483873 5280967746