Search a number
-
+
7013644632 = 2333131311797
BaseRepresentation
bin1101000100000101…
…11011100101011000
3200002210102001201000
412202002323211120
5103330443112012
63115542425000
7335542665351
oct64202734530
920083361630
107013644632
112a7a024025
121438a32160
1387a0a26a7
144a76acd28
152b0b11ddc
hex1a20bb958

7013644632 has 128 divisors (see below), whose sum is σ = 19718899200. Its totient is φ = 2309673600.

The previous prime is 7013644619. The next prime is 7013644657. The reversal of 7013644632 is 2364463107.

It is a happy number.

7013644632 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 644 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×70136446322 = 98382422047964830848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8799658 + ... + 8800454.

It is an arithmetic number, because the mean of its divisors is an integer number (154053900).

Almost surely, 27013644632 is an apocalyptic number.

7013644632 is a gapful number since it is divisible by the number (72) 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 7013644632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859449600).

7013644632 is an abundant number, since it is smaller than the sum of its proper divisors (12705254568).

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

7013644632 is a wasteful number, since it uses less digits than its factorization.

7013644632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7013644632 is about 83747.5052285141. The cubic root of 7013644632 is about 1914.1732923551.

The spelling of 7013644632 in words is "seven billion, thirteen million, six hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 311 393 524 622 786 797 933 1048 1179 1244 1572 1594 1866 2358 2391 2488 2799 3144 3188 3537 3732 4716 4782 5598 6376 7074 7173 7464 8397 9432 9564 11196 14148 14346 16794 19128 21519 22392 28296 28692 33588 40741 43038 57384 67176 81482 86076 104407 122223 162964 172152 208814 244446 247867 313221 325928 366669 417628 488892 495734 626442 733338 743601 835256 939663 977784 991468 1100007 1252884 1466676 1487202 1879326 1982936 2200014 2230803 2505768 2818989 2933352 2974404 3758652 4400028 4461606 5637978 5948808 6692409 7517304 8800056 8923212 11275956 13384818 17846424 22551912 26769636 32470577 53539272 64941154 97411731 129882308 194823462 259764616 292235193 389646924 584470386 779293848 876705579 1168940772 1753411158 2337881544 3506822316 7013644632