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6211490640 = 2435194193251
BaseRepresentation
bin1011100100011101…
…11101001101010000
3121000220000102021220
411302032331031100
5100210120200030
62504205445040
7306632541105
oct56216751520
917026012256
106211490640
1126a8251943
121254270780
1377cb47264
1442cd42aac
152654b1a10
hex1723bd350

6211490640 has 160 divisors (see below), whose sum is σ = 20323699200. Its totient is φ = 1564992000.

The previous prime is 6211490627. The next prime is 6211490641. The reversal of 6211490640 is 460941126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6211490641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1909015 + ... + 1912265.

It is an arithmetic number, because the mean of its divisors is an integer number (127023120).

Almost surely, 26211490640 is an apocalyptic number.

6211490640 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 6211490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161849600).

6211490640 is an abundant number, since it is smaller than the sum of its proper divisors (14112208560).

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

6211490640 is a wasteful number, since it uses less digits than its factorization.

6211490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6211490640 is about 78813.0106010423. The cubic root of 6211490640 is about 1838.2247606978.

The spelling of 6211490640 in words is "six billion, two hundred eleven million, four hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 419 456 570 760 838 912 1140 1257 1520 1676 2095 2280 2514 3251 3352 4190 4560 5028 6285 6502 6704 7961 8380 9753 10056 12570 13004 15922 16255 16760 19506 20112 23883 25140 26008 31844 32510 33520 39012 39805 47766 48765 50280 52016 61769 63688 65020 78024 79610 95532 97530 100560 119415 123538 127376 130040 156048 159220 185307 191064 195060 238830 247076 260080 308845 318440 370614 382128 390120 477660 494152 617690 636880 741228 780240 926535 955320 988304 1235380 1362169 1482456 1853070 1910640 2470760 2724338 2964912 3706140 4086507 4941520 5448676 6810845 7412280 8173014 10897352 13621690 14824560 16346028 20432535 21794704 25881211 27243380 32692056 40865070 51762422 54486760 65384112 77643633 81730140 103524844 108973520 129406055 155287266 163460280 207049688 258812110 310574532 326920560 388218165 414099376 517624220 621149064 776436330 1035248440 1242298128 1552872660 2070496880 3105745320 6211490640