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13766383080 = 2333517749803
BaseRepresentation
bin11001101001000101…
…00101010111101000
31022112101212201102000
430310202211113220
5211143143224310
610154005211000
7665100216432
oct146442452750
938471781360
1013766383080
1159248453aa
122802400a60
1313b50b4508
14948463652
155588884c0
hex3348a55e8

13766383080 has 128 divisors (see below), whose sum is σ = 48587299200. Its totient is φ = 3455087616.

The previous prime is 13766383079. The next prime is 13766383153. The reversal of 13766383080 is 8038366731.

13766383080 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 638 + 3 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 356542 + ... + 393261.

It is an arithmetic number, because the mean of its divisors is an integer number (379588275).

Almost surely, 213766383080 is an apocalyptic number.

13766383080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766383080 is an abundant number, since it is smaller than the sum of its proper divisors (34820916120).

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

13766383080 is a wasteful number, since it uses less digits than its factorization.

13766383080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749840 (or 749830 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13766383080 in words is "thirteen billion, seven hundred sixty-six million, three hundred eighty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 749803 1499606 2249409 2999212 3749015 4498818 5998424 6748227 7498030 8997636 11247045 12746651 13496454 14996060 17995272 20244681 22494090 25493302 26992908 29992120 33741135 38239953 40489362 44988180 50986604 53985816 63733255 67482270 76479906 80978724 89976360 101223405 101973208 114719859 127466510 134964540 152959812 161957448 191199765 202446810 229439718 254933020 269929080 305919624 344159577 382399530 404893620 458879436 509866040 573599295 688319154 764799060 809787240 917758872 1147198590 1376638308 1529598120 1720797885 2294397180 2753276616 3441595770 4588794360 6883191540 13766383080