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2664673848 = 23351923797
BaseRepresentation
bin1001111011010011…
…1011001000111000
320212201001110100000
42132310323020320
520424124030343
61120225113000
7123014232264
oct23664731070
96781043300
102664673848
1111481589a1
12624488760
133360983b5
141b3c790a4
15108e07ed3
hex9ed3b238

2664673848 has 144 divisors (see below), whose sum is σ = 7900827480. Its totient is φ = 841254336.

The previous prime is 2664673819. The next prime is 2664673853. The reversal of 2664673848 is 8483764662.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2664673794 and 2664673803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 699886 + ... + 703682.

Almost surely, 22664673848 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 2664673848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950413740).

2664673848 is an abundant number, since it is smaller than the sum of its proper divisors (5236153632).

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

2664673848 is a wasteful number, since it uses less digits than its factorization.

2664673848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3821 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 2664673848 is about 51620.4789594207. The cubic root of 2664673848 is about 1386.3770267941.

The spelling of 2664673848 in words is "two billion, six hundred sixty-four million, six hundred seventy-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 361 456 486 513 648 684 722 972 1026 1083 1368 1444 1539 1944 2052 2166 2888 3078 3249 3797 4104 4332 4617 6156 6498 7594 8664 9234 9747 11391 12312 12996 15188 18468 19494 22782 25992 29241 30376 34173 36936 38988 45564 58482 68346 72143 77976 87723 91128 102519 116964 136692 144286 175446 205038 216429 233928 273384 288572 307557 350892 410076 432858 577144 615114 649287 701784 820152 865716 922671 1230228 1298574 1370717 1731432 1845342 1947861 2460456 2597148 2741434 3690684 3895722 4112151 5194296 5482868 5843583 7381368 7791444 8224302 10965736 11687166 12336453 15582888 16448604 17530749 23374332 24672906 32897208 35061498 37009359 46748664 49345812 70122996 74018718 98691624 111028077 140245992 148037436 222056154 296074872 333084231 444112308 666168462 888224616 1332336924 2664673848