Search a number
-
+
16002600129984 = 263139766095857
BaseRepresentation
bin1110100011011110010101…
…0010111101010111000000
32002122211111201101002112010
43220313211102331113000
54044141311113124414
654011254253532520
73241102230530406
oct350674522752700
962584451332463
1016002600129984
11510a73464a626
1219654b24a4140
138c10670a5470
143d475c395476
151cb3e72d4959
hexe8de54bd5c0

16002600129984 has 112 divisors (see below), whose sum is σ = 46067226725408. Its totient is φ = 4873115271168.

The previous prime is 16002600129937. The next prime is 16002600130007. The reversal of 16002600129984 is 48992100620061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32805817 + ... + 33290040.

It is an arithmetic number, because the mean of its divisors is an integer number (411314524334).

Almost surely, 216002600129984 is an apocalyptic number.

It is an amenable number.

16002600129984 is an abundant number, since it is smaller than the sum of its proper divisors (30064626595424).

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

16002600129984 is a wasteful number, since it uses less digits than its factorization.

16002600129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66095982 (or 66095972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 16002600129984 in words is "sixteen trillion, two billion, six hundred million, one hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 156 192 194 208 291 312 388 416 582 624 776 832 1164 1248 1261 1552 2328 2496 2522 3104 3783 4656 5044 6208 7566 9312 10088 15132 18624 20176 30264 40352 60528 80704 121056 242112 66095857 132191714 198287571 264383428 396575142 528766856 793150284 859246141 1057533712 1586300568 1718492282 2115067424 2577738423 3172601136 3436984564 4230134848 5155476846 6345202272 6411298129 6873969128 10310953692 12690404544 12822596258 13747938256 19233894387 20621907384 25645192516 27495876512 38467788774 41243814768 51290385032 54991753024 76935577548 82487629536 83346875677 102580770064 153871155096 164975259072 166693751354 205161540128 250040627031 307742310192 333387502708 410323080256 500081254062 615484620384 666775005416 1000162508124 1230969240768 1333550010832 2000325016248 2667100021664 4000650032496 5334200043328 8001300064992 16002600129984