Search a number
-
+
6745953312 = 2532722714741
BaseRepresentation
bin1100100100001011…
…10001010000100000
3122102010200221020200
412102011301100200
5102303431001222
63033221105200
7326112441240
oct62205612040
918363627220
106745953312
112951a0762a
121383258200
138367a7667
1447dd09b20
15297385eac
hex192171420

6745953312 has 144 divisors (see below), whose sum is σ = 22022425152. Its totient is φ = 1918794240.

The previous prime is 6745953301. The next prime is 6745953323. The reversal of 6745953312 is 2133595476.

6745953312 is a `hidden beast` number, since 67 + 4 + 59 + 533 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6745953301) and next prime (6745953323).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450262 + ... + 465002.

It is an arithmetic number, because the mean of its divisors is an integer number (152933508).

Almost surely, 26745953312 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 6745953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011212576).

6745953312 is an abundant number, since it is smaller than the sum of its proper divisors (15276471840).

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

6745953312 is a wasteful number, since it uses less digits than its factorization.

6745953312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14991 (or 14980 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 6745953312 is about 82133.7525746876. The cubic root of 6745953312 is about 1889.5038321312.

The spelling of 6745953312 in words is "six billion, seven hundred forty-five million, nine hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 227 252 288 336 454 504 672 681 908 1008 1362 1589 1816 2016 2043 2724 3178 3632 4086 4767 5448 6356 7264 8172 9534 10896 12712 14301 14741 16344 19068 21792 25424 28602 29482 32688 38136 44223 50848 57204 58964 65376 76272 88446 103187 114408 117928 132669 152544 176892 206374 228816 235856 265338 309561 353784 412748 457632 471712 530676 619122 707568 825496 928683 1061352 1238244 1415136 1650992 1857366 2122704 2476488 3301984 3346207 3714732 4245408 4952976 6692414 7429464 9905952 10038621 13384828 14858928 20077242 23423449 26769656 29717856 30115863 40154484 46846898 53539312 60231726 70270347 80308968 93693796 107078624 120463452 140540694 160617936 187387592 210811041 240926904 281081388 321235872 374775184 421622082 481853808 562162776 749550368 843244164 963707616 1124325552 1686488328 2248651104 3372976656 6745953312