Search a number
-
+
87683292672 = 2933113114057
BaseRepresentation
bin101000110101001010…
…1001101111000000000
322101022210120210010020
41101222111031320000
52414033410331142
6104140421133440
76222605455533
oct1215225157000
9271283523106
1087683292672
1134205a29638
1214bb0b5a280
138364b7a641
14435b360a1a
152432ca9cec
hex146a54de00

87683292672 has 160 divisors (see below), whose sum is σ = 242987019264. Its totient is φ = 28067020800.

The previous prime is 87683292667. The next prime is 87683292707. The reversal of 87683292672 is 27629238678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6230668 + ... + 6244724.

Almost surely, 287683292672 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 87683292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121493509632).

87683292672 is an abundant number, since it is smaller than the sum of its proper divisors (155303726592).

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

87683292672 is a wasteful number, since it uses less digits than its factorization.

87683292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14240 (or 14224 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 87683292672 in words is "eighty-seven billion, six hundred eighty-three million, two hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 131 186 192 248 256 262 372 384 393 496 512 524 744 768 786 992 1048 1488 1536 1572 1984 2096 2976 3144 3968 4061 4192 5952 6288 7936 8122 8384 11904 12183 12576 14057 15872 16244 16768 23808 24366 25152 28114 32488 33536 42171 47616 48732 50304 56228 64976 67072 84342 97464 100608 112456 129952 168684 194928 201216 224912 259904 337368 389856 435767 449824 519808 674736 779712 871534 899648 1039616 1307301 1349472 1559424 1743068 1799296 1841467 2079232 2614602 2698944 3118848 3486136 3598592 3682934 5229204 5397888 5524401 6237696 6972272 7197184 7365868 10458408 10795776 11048802 13944544 14731736 20916816 21591552 22097604 27889088 29463472 41833632 44195208 55778176 57085477 58926944 83667264 88390416 111556352 114170954 117853888 167334528 171256431 176780832 223112704 228341908 235707776 334669056 342512862 353561664 456683816 471415552 669338112 685025724 707123328 913367632 942831104 1370051448 1414246656 1826735264 2740102896 2828493312 3653470528 5480205792 7306941056 10960411584 14613882112 21920823168 29227764224 43841646336 87683292672