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4160425984 = 21211137103
BaseRepresentation
bin1111011111111011…
…0001000000000000
3101201221120112112021
43313332301000000
532010032112414
61524500211224
7205046015551
oct36776610000
911657515467
104160425984
1118454a7690
12981399b14
13513c31030
142b6794328
151953b3c24
hexf7fb1000

4160425984 has 104 divisors (see below), whose sum is σ = 9775729152. Its totient is φ = 1745387520.

The previous prime is 4160425957. The next prime is 4160426027. The reversal of 4160425984 is 4895240614.

It is a tau number, because it is divible by the number of its divisors (104).

It is a self number, because there is not a number n which added to its sum of digits gives 4160425984.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582177 + ... + 589279.

Almost surely, 24160425984 is an apocalyptic number.

4160425984 is a gapful number since it is divisible by the number (44) 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 4160425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887864576).

4160425984 is an abundant number, since it is smaller than the sum of its proper divisors (5615303168).

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

4160425984 is a wasteful number, since it uses less digits than its factorization.

4160425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 4160425984 is about 64501.3642026275. The cubic root of 4160425984 is about 1608.3451978710.

The spelling of 4160425984 in words is "four billion, one hundred sixty million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 2048 2288 2816 3328 4096 4576 5632 6656 7103 9152 11264 13312 14206 18304 22528 26624 28412 36608 45056 53248 56824 73216 78133 92339 113648 146432 156266 184678 227296 292864 312532 369356 454592 585728 625064 738712 909184 1015729 1250128 1477424 1818368 2031458 2500256 2954848 3636736 4062916 5000512 5909696 7273472 8125832 10001024 11819392 14546944 16251664 20002048 23638784 29093888 32503328 40004096 47277568 65006656 80008192 94555136 130013312 160016384 189110272 260026624 320032768 378220544 520053248 1040106496 2080212992 4160425984