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3936248680 = 2357131763611
BaseRepresentation
bin1110101010011110…
…0110001101101000
3101011022202011002011
43222213212031220
531030134424210
61450331245304
7166354363450
oct35247461550
911138664064
103936248680
11173aa00991
1291a2a9834
134a9660140
14294abad60
15180880d8a
hexea9e6368

3936248680 has 128 divisors (see below), whose sum is σ = 11541761280. Its totient is φ = 1172459520.

The previous prime is 3936248633. The next prime is 3936248761. The reversal of 3936248680 is 868426393.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30075 + ... + 93685.

It is an arithmetic number, because the mean of its divisors is an integer number (90170010).

Almost surely, 23936248680 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 3936248680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770880640).

3936248680 is an abundant number, since it is smaller than the sum of its proper divisors (7605512600).

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

3936248680 is a wasteful number, since it uses less digits than its factorization.

3936248680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63659 (or 63655 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The square root of 3936248680 is about 62739.5304413414. The cubic root of 3936248680 is about 1578.9226057738.

The spelling of 3936248680 in words is "three billion, nine hundred thirty-six million, two hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 30940 61880 63611 127222 254444 318055 445277 508888 636110 826943 890554 1081387 1272220 1653886 1781108 2162774 2226385 2544440 3307772 3562216 4134715 4325548 4452770 5406935 5788601 6615544 7569709 8269430 8651096 8905540 10813870 11577202 14058031 15139418 16538860 17811080 21627740 23154404 28116062 28943005 30278836 33077720 37848545 43255480 46308808 56232124 57886010 60557672 70290155 75697090 98406217 112464248 115772020 140580310 151394180 196812434 231544040 281160620 302788360 393624868 492031085 562321240 787249736 984062170 1968124340 3936248680