Search a number
-
+
32130979814004 = 223232107238919801
BaseRepresentation
bin1110100111001000100111…
…01000110101101001110100
311012202200200020011120012120
413103210103220311221310
513202413221313022004
6152200433544115540
76524246430060231
oct723442350655164
9135680606146176
1032130979814004
11a2687434a7805
12372b248165bb0
1314c0c27868336
147d120d4ba788
153aac01b603d9
hex1d3913a35a74

32130979814004 has 144 divisors (see below), whose sum is σ = 79143249044160. Its totient is φ = 10144155225600.

The previous prime is 32130979813957. The next prime is 32130979814029. The reversal of 32130979814004 is 40041897903123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622684904 + ... + 1622704704.

It is an arithmetic number, because the mean of its divisors is an integer number (549605896140).

Almost surely, 232130979814004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130979814004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39571624522080).

32130979814004 is an abundant number, since it is smaller than the sum of its proper divisors (47012269230156).

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

32130979814004 is a wasteful number, since it uses less digits than its factorization.

32130979814004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22325 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 32130979814004 in words is "thirty-two trillion, one hundred thirty billion, nine hundred seventy-nine million, eight hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 529 642 1058 1284 1587 2116 2389 2461 3174 4778 4922 6348 7167 7383 9556 9844 14334 14766 19801 28668 29532 39602 54947 56603 59403 79204 109894 113206 118806 164841 169809 219788 226412 237612 255623 329682 339618 455423 511246 659364 679236 766869 910846 1022492 1263781 1366269 1533738 1821692 2118707 2527562 2732538 3067476 3791343 4237414 5055124 5465076 5879329 6356121 7582686 8474828 10474729 11758658 12712242 15165372 17637987 20949458 23517316 25424484 31424187 35275974 41898916 47304589 48730261 62848374 70551948 94609178 97460522 125696748 135224567 141913767 146190783 189218356 194921044 270449134 283827534 292381566 405673701 540898268 567655068 584763132 811347402 1088005547 1120796003 1622694804 2176011094 2241592006 3264016641 3362388009 4352022188 4483184012 5061591023 6528033282 6724776018 10123182046 13056066564 13449552036 15184773069 20246364092 25024127581 30369546138 50048255162 60739092276 75072382743 100096510324 116416593529 150144765486 232833187058 300289530972 349249780587 465666374116 698499561174 1396999122348 2677581651167 5355163302334 8032744953501 10710326604668 16065489907002 32130979814004