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1906685856 = 253279181463
BaseRepresentation
bin111000110100101…
…1011011110100000
311220212202200021200
41301221123132200
512401102421411
6513110521200
765151363615
oct16151333640
94825680250
101906685856
11899302339
12452666200
13245034aaa
1414132850c
15b25cde56
hex71a5b7a0

1906685856 has 144 divisors (see below), whose sum is σ = 5533032960. Its totient is φ = 622702080.

The previous prime is 1906685843. The next prime is 1906685863. The reversal of 1906685856 is 6585866091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4117881 + ... + 4118343.

It is an arithmetic number, because the mean of its divisors is an integer number (38423840).

Almost surely, 21906685856 is an apocalyptic number.

1906685856 is a gapful number since it is divisible by the number (16) 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 1906685856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766516480).

1906685856 is an abundant number, since it is smaller than the sum of its proper divisors (3626347104).

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

1906685856 is a wasteful number, since it uses less digits than its factorization.

1906685856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 1906685856 is about 43665.6141145410. The cubic root of 1906685856 is about 1240.0134094977.

The spelling of 1906685856 in words is "one billion, nine hundred six million, six hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 181 237 288 316 362 463 474 543 632 711 724 926 948 1086 1264 1389 1422 1448 1629 1852 1896 2172 2528 2778 2844 2896 3258 3704 3792 4167 4344 5556 5688 5792 6516 7408 7584 8334 8688 11112 11376 13032 14299 14816 16668 17376 22224 22752 26064 28598 33336 36577 42897 44448 52128 57196 66672 73154 83803 85794 109731 114392 128691 133344 146308 167606 171588 219462 228784 251409 257382 292616 329193 335212 343176 438924 457568 502818 514764 585232 658386 670424 686352 754227 877848 1005636 1029528 1170464 1316772 1340848 1372704 1508454 1755696 2011272 2059056 2633544 2681696 3016908 3511392 4022544 4118112 5267088 6033816 6620437 8045088 10534176 12067632 13240874 19861311 24135264 26481748 39722622 52963496 59583933 79445244 105926992 119167866 158890488 211853984 238335732 317780976 476671464 635561952 953342928 1906685856