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6745974912 = 27328576833
BaseRepresentation
bin1100100100001011…
…10110100010000000
3122102010202000212200
412102011312202000
5102303432144122
63033221353200
7326112561225
oct62205664200
918363660780
106745974912
112951a21886
121383268800
138367b4441
1447dd1394c
1529738c5ac
hex192176880

6745974912 has 96 divisors (see below), whose sum is σ = 19437741180. Its totient is φ = 2245705728.

The previous prime is 6745974857. The next prime is 6745974913. The reversal of 6745974912 is 2194795476.

6745974912 is a `hidden beast` number, since 6 + 7 + 4 + 597 + 49 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6733187136 + 12787776 = 82056^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6745974913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 983848 + ... + 990680.

Almost surely, 26745974912 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 6745974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718870590).

6745974912 is an abundant number, since it is smaller than the sum of its proper divisors (12691766268).

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

6745974912 is a wasteful number, since it uses less digits than its factorization.

6745974912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7695 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 6745974912 is about 82133.8840674176. The cubic root of 6745974912 is about 1889.5058488088.

The spelling of 6745974912 in words is "six billion, seven hundred forty-five million, nine hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 857 1152 1714 2571 3428 5142 6833 6856 7713 10284 13666 13712 15426 20499 20568 27332 27424 30852 40998 41136 54664 54848 61497 61704 81996 82272 109328 109696 122994 123408 163992 164544 218656 245988 246816 327984 329088 437312 491976 493632 655968 874624 983952 987264 1311936 1967904 2623872 3935808 5855881 7871616 11711762 17567643 23423524 35135286 46847048 52702929 70270572 93694096 105405858 140541144 187388192 210811716 281082288 374776384 421623432 562164576 749552768 843246864 1124329152 1686493728 2248658304 3372987456 6745974912