Search a number
-
+
3287472703216 = 2413172347860051
BaseRepresentation
bin101111110101101100101…
…001001000011011110000
3102122021112121212200122021
4233311230221020123300
5412330221003000331
610554124421121224
7456340431626332
oct57655451103360
912567477780567
103287472703216
111058233700539
12451173b59214
131ab0131a5460
14b518639b452
155a7ac226211
hex2fd6ca486f0

3287472703216 has 160 divisors (see below), whose sum is σ = 7739972610048. Its totient is φ = 1336889241600.

The previous prime is 3287472703183. The next prime is 3287472703219. The reversal of 3287472703216 is 6123072747823.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287472703219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3392391 + ... + 4252441.

Almost surely, 23287472703216 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 3287472703216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869986305024).

3287472703216 is an abundant number, since it is smaller than the sum of its proper divisors (4452499906832).

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

3287472703216 is a wasteful number, since it uses less digits than its factorization.

3287472703216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860159 (or 860153 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 3287472703216 in words is "three trillion, two hundred eighty-seven billion, four hundred seventy-two million, seven hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 47 52 68 92 94 104 136 184 188 208 221 272 299 368 376 391 442 598 611 752 782 799 884 1081 1196 1222 1564 1598 1768 2162 2392 2444 3128 3196 3536 4324 4784 4888 5083 6256 6392 8648 9776 10166 10387 12784 14053 17296 18377 20332 20774 28106 36754 40664 41548 56212 73508 81328 83096 112424 147016 166192 224848 238901 294032 477802 860051 955604 1720102 1911208 3440204 3822416 6880408 11180663 13760816 14620867 19781173 22361326 29241734 39562346 40422397 44722652 58483468 79124692 80844794 89445304 116966936 158249384 161689588 178890608 190071271 233933872 257155249 316498768 323379176 336279941 380142542 514310498 525491161 646758352 672559882 687180749 760285084 929715131 1028620996 1050982322 1345119764 1374361498 1520570168 1859430262 2057241992 2101964644 2690239528 2748722996 3041140336 3718860524 4114483984 4203929288 4371639233 5380479056 5497445992 7437721048 8407858576 8743278466 8933349737 10994891984 12086296703 14875442096 15805157227 17486556932 17866699474 24172593406 31610314454 34973113864 35733398948 48345186812 63220628908 69946227728 71466797896 96690373624 126441257816 142933595792 193380747248 205467043951 252882515632 410934087902 821868175804 1643736351608 3287472703216