Search a number
-
+
12635030040 = 2335611799643
BaseRepresentation
bin10111100010001101…
…10100001000011000
31012121120001000210120
423301012310020120
5201334031430130
65445432313240
7625051661163
oct136106641030
935546030716
1012635030040
1153a4166096
122547542820
1312648a6a49
1487c0c2ada
154de3ac910
hex2f11b4218

12635030040 has 128 divisors (see below), whose sum is σ = 38745734400. Its totient is φ = 3295249920.

The previous prime is 12635030027. The next prime is 12635030053. The reversal of 12635030040 is 4003053621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12635030027) and next prime (12635030053).

It is a super-2 number, since 2×126350300402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1305459 + ... + 1315101.

It is an arithmetic number, because the mean of its divisors is an integer number (302701050).

Almost surely, 212635030040 is an apocalyptic number.

12635030040 is a gapful number since it is divisible by the number (10) 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 12635030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372867200).

12635030040 is an abundant number, since it is smaller than the sum of its proper divisors (26110704360).

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

12635030040 is a wasteful number, since it uses less digits than its factorization.

12635030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 12635030040 its reverse (4003053621), we get a palindrome (16638083661).

The spelling of 12635030040 in words is "twelve billion, six hundred thirty-five million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 179 183 244 305 358 366 488 537 610 716 732 895 915 1074 1220 1432 1464 1790 1830 2148 2440 2685 3580 3660 4296 5370 7160 7320 9643 10740 10919 19286 21480 21838 28929 32757 38572 43676 48215 54595 57858 65514 77144 87352 96430 109190 115716 131028 144645 163785 192860 218380 231432 262056 289290 327570 385720 436760 578580 588223 655140 1157160 1176446 1310280 1726097 1764669 2352892 2941115 3452194 3529338 4705784 5178291 5882230 6904388 7058676 8630485 8823345 10356582 11764460 13808776 14117352 17260970 17646690 20713164 23528920 25891455 34521940 35293380 41426328 51782910 69043880 70586760 103565820 105291917 207131640 210583834 315875751 421167668 526459585 631751502 842335336 1052919170 1263503004 1579378755 2105838340 2527006008 3158757510 4211676680 6317515020 12635030040