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6950420640 = 2532520172393
BaseRepresentation
bin1100111100100011…
…10000000010100000
3122221101102221200200
412132101300002200
5103213301430030
63105403345200
7334144413012
oct63621600240
918841387620
106950420640
112a47370999
12141b822200
13869c67147
1449d1321b2
152aa2c3d60
hex19e4700a0

6950420640 has 144 divisors (see below), whose sum is σ = 23739986088. Its totient is φ = 1851752448.

The previous prime is 6950420629. The next prime is 6950420651. The reversal of 6950420640 is 460240596.

6950420640 is a `hidden beast` number, since 6 + 9 + 5 + 0 + 4 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6950420629) and next prime (6950420651).

It can be written as a sum of positive squares in 4 ways, for example, as 4779233424 + 2171187216 = 69132^2 + 46596^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6950420595 and 6950420604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2903284 + ... + 2905676.

Almost surely, 26950420640 is an apocalyptic number.

6950420640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6950420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869993044).

6950420640 is an abundant number, since it is smaller than the sum of its proper divisors (16789565448).

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

6950420640 is a wasteful number, since it uses less digits than its factorization.

6950420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6950420640 is about 83369.1827955630. The cubic root of 6950420640 is about 1908.4041968986.

The spelling of 6950420640 in words is "six billion, nine hundred fifty million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2017 2393 4034 4786 6051 7179 8068 9572 10085 11965 12102 14358 16136 18153 19144 20170 21537 23930 24204 28716 30255 32272 35895 36306 38288 40340 43074 47860 48408 57432 60510 64544 71790 72612 76576 80680 86148 90765 95720 96816 107685 114864 121020 143580 145224 161360 172296 181530 191440 193632 215370 229728 242040 287160 290448 322720 344592 363060 382880 430740 484080 574320 580896 689184 726120 861480 968160 1148640 1452240 1722960 2904480 3445920 4826681 9653362 14480043 19306724 24133405 28960086 38613448 43440129 48266810 57920172 72400215 77226896 86880258 96533620 115840344 144800430 154453792 173760516 193067240 217200645 231680688 289600860 347521032 386134480 434401290 463361376 579201720 695042064 772268960 868802580 1158403440 1390084128 1737605160 2316806880 3475210320 6950420640