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12754007140 = 2257216977669
BaseRepresentation
bin10111110000011001…
…01011010001100100
31012220211220200200211
423320030223101210
5202110011212030
65505322345204
7631025162200
oct137014532144
935824820624
1012754007140
115455339376
12257b35b204
1312834331b4
1488dc13b00
154e9a6012a
hex2f832b464

12754007140 has 72 divisors (see below), whose sum is σ = 31178642040. Its totient is φ = 4369655808.

The previous prime is 12754007107. The next prime is 12754007143. The reversal of 12754007140 is 4170045721.

It can be written as a sum of positive squares in 4 ways, for example, as 7769364736 + 4984642404 = 88144^2 + 70602^2 .

It is not an unprimeable number, because it can be changed into a prime (12754007143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659226 + ... + 1666894.

It is an arithmetic number, because the mean of its divisors is an integer number (433036695).

Almost surely, 212754007140 is an apocalyptic number.

12754007140 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 12754007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589321020).

12754007140 is an abundant number, since it is smaller than the sum of its proper divisors (18424634900).

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

12754007140 is a wasteful number, since it uses less digits than its factorization.

12754007140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9389 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 12754007140 in words is "twelve billion, seven hundred fifty-four million, seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1697 3394 6788 7669 8485 11879 15338 16970 23758 30676 33940 38345 47516 53683 59395 76690 83153 107366 118790 153380 166306 214732 237580 268415 332612 375781 415765 536830 751562 831530 1073660 1503124 1663060 1878905 3757810 7515620 13014293 26028586 52057172 65071465 91100051 130142930 182200102 260285860 364400204 455500255 637700357 911000510 1275400714 1822001020 2550801428 3188501785 6377003570 12754007140