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172344978640 = 245173122917851
BaseRepresentation
bin1010000010000010001…
…1111010110011010000
3121110212000111001002001
42200200203322303100
510310430303304030
6211101343003344
715310604101402
oct2404043726320
9543760431061
10172344978640
116710027a34a
1229499b99554
1313337a19c03
1484ad292b72
15473a653cca
hex28208facd0

172344978640 has 160 divisors (see below), whose sum is σ = 439896130560. Its totient is φ = 62512128000.

The previous prime is 172344978607. The next prime is 172344978649. The reversal of 172344978640 is 46879443271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172344978649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9645715 + ... + 9663565.

It is an arithmetic number, because the mean of its divisors is an integer number (2749350816).

Almost surely, 2172344978640 is an apocalyptic number.

172344978640 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 172344978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219948065280).

172344978640 is an abundant number, since it is smaller than the sum of its proper divisors (267551151920).

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

172344978640 is a wasteful number, since it uses less digits than its factorization.

172344978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18141 (or 18135 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 172344978640 in words is "one hundred seventy-two billion, three hundred forty-four million, nine hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 229 248 272 310 340 458 496 527 620 680 916 1054 1145 1240 1360 1832 2108 2290 2480 2635 3664 3893 4216 4580 5270 7099 7786 8432 9160 10540 14198 15572 17851 18320 19465 21080 28396 31144 35495 35702 38930 42160 56792 62288 70990 71404 77860 89255 113584 120683 141980 142808 155720 178510 241366 283960 285616 303467 311440 357020 482732 553381 567920 603415 606934 714040 965464 1106762 1206830 1213868 1428080 1517335 1930928 2213524 2413660 2427736 2766905 3034670 4087879 4427048 4827320 4855472 5533810 6069340 8175758 8854096 9407477 9654640 11067620 12138680 16351516 18814954 20439395 22135240 24277360 32703032 37629908 40878790 44270480 47037385 65406064 69493943 75259816 81757580 94074770 126724249 138987886 150519632 163515160 188149540 253448498 277975772 327030320 347469715 376299080 506896996 555951544 633621245 694939430 752598160 1013793992 1111903088 1267242490 1389878860 2027587984 2154312233 2534484980 2779757720 4308624466 5068969960 5559515440 8617248932 10137939920 10771561165 17234497864 21543122330 34468995728 43086244660 86172489320 172344978640