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6328535640 = 2335710969119
BaseRepresentation
bin1011110010011010…
…11100101001011000
3121100001020220211220
411321031130221120
5100430101120030
62523550252040
7312553444140
oct57115345130
917301226756
106328535640
112758325549
1212874b7020
1379b17815b
144406cd920
152708d1a10
hex17935ca58

6328535640 has 128 divisors (see below), whose sum is σ = 21897216000. Its totient is φ = 1433230848.

The previous prime is 6328535597. The next prime is 6328535657. The reversal of 6328535640 is 465358236.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6328535592 and 6328535601.

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 31 ways as a sum of consecutive naturals, for example, 57001 + ... + 126119.

It is an arithmetic number, because the mean of its divisors is an integer number (171072000).

Almost surely, 26328535640 is an apocalyptic number.

6328535640 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 6328535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948608000).

6328535640 is an abundant number, since it is smaller than the sum of its proper divisors (15568680360).

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

6328535640 is a wasteful number, since it uses less digits than its factorization.

6328535640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69249 (or 69245 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 6328535640 is about 79552.0938756486. The cubic root of 6328535640 is about 1849.6990637843.

The spelling of 6328535640 in words is "six billion, three hundred twenty-eight million, five hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 168 210 218 280 327 420 436 545 654 763 840 872 1090 1308 1526 1635 2180 2289 2616 3052 3270 3815 4360 4578 6104 6540 7630 9156 11445 13080 15260 18312 22890 30520 45780 69119 91560 138238 207357 276476 345595 414714 483833 552952 691190 829428 967666 1036785 1382380 1451499 1658856 1935332 2073570 2419165 2764760 2902998 3870664 4147140 4838330 5805996 7257495 7533971 8294280 9676660 11611992 14514990 15067942 19353320 22601913 29029980 30135884 37669855 45203826 52737797 58059960 60271768 75339710 90407652 105475594 113009565 150679420 158213391 180815304 210951188 226019130 263688985 301358840 316426782 421902376 452038260 527377970 632853564 791066955 904076520 1054755940 1265707128 1582133910 2109511880 3164267820 6328535640