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24413413201392 = 24337179110969247
BaseRepresentation
bin1011000110100001100001…
…10100100101010111110000
310012102220021202000210210110
411203100300310211113300
511144442132234421032
6123531211151501320
75066545065200325
oct543206064452760
9105386252023713
1024413413201392
117862741328806
1228a3596827840
1310812375a3857
14605888d28b4c
152c50b00ab7cc
hex163430d255f0

24413413201392 has 160 divisors (see below), whose sum is σ = 65194055884800. Its totient is φ = 7866416507904.

The previous prime is 24413413201321. The next prime is 24413413201403. The reversal of 24413413201392 is 29310231431442.

It is a self number, because there is not a number n which added to its sum of digits gives 24413413201392.

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, 352520913 + ... + 352590159.

It is an arithmetic number, because the mean of its divisors is an integer number (407462849280).

Almost surely, 224413413201392 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 24413413201392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32597027942400).

24413413201392 is an abundant number, since it is smaller than the sum of its proper divisors (40780642683408).

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

24413413201392 is a wasteful number, since it uses less digits than its factorization.

24413413201392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70583 (or 70577 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 24413413201392 in words is "twenty-four trillion, four hundred thirteen billion, four hundred thirteen million, two hundred one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 179 222 296 358 444 537 592 716 888 1074 1109 1432 1776 2148 2218 2864 3327 4296 4436 6623 6654 8592 8872 13246 13308 17744 19869 26492 26616 39738 41033 52984 53232 69247 79476 82066 105968 123099 138494 158952 164132 198511 207741 246198 276988 317904 328264 397022 415482 492396 553976 595533 656528 794044 830964 984792 1107952 1191066 1588088 1661928 1969584 2382132 2562139 3176176 3323856 4764264 5124278 7344907 7686417 9528528 10248556 12395213 14689814 15372834 20497112 22034721 24790426 29379628 30745668 37185639 40994224 44069442 49580852 58759256 61491336 74371278 76794923 88138884 99161704 117518512 122982672 148742556 153589846 176277768 198323408 230384769 297485112 307179692 352555536 458622881 460769538 594970224 614359384 917245762 921539076 1228718768 1375868643 1834491524 1843078152 2751737286 2841412151 3668983048 3686156304 5503474572 5682824302 7337966096 8524236453 11006949144 11365648604 13746291217 17048472906 22013898288 22731297208 27492582434 34096945812 41238873651 45462594416 54985164868 68193891624 82477747302 109970329736 136387783248 164955494604 219940659472 329910989208 508612775029 659821978416 1017225550058 1525838325087 2034451100116 3051676650174 4068902200232 6103353300348 8137804400464 12206706600696 24413413201392