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61783026169968 = 24321957173949889
BaseRepresentation
bin11100000110000111110110…
…10100111111100001110000
322002202101210022200202222100
432003003323110333201300
531044223114144414333
6335222421433140400
716004450661342525
oct1603037324774160
9262671708622870
1061783026169968
1118760041657a94
126b19b6a55a700
132862164363b8c
141138458ab914c
157221b93a3213
hex3830fb53f870

61783026169968 has 120 divisors (see below), whose sum is σ = 182038896421200. Its totient is φ = 19507011674112.

The previous prime is 61783026169961. The next prime is 61783026169979. The reversal of 61783026169968 is 86996162038716.

61783026169968 is a `hidden beast` number, since 6 + 1 + 78 + 302 + 6 + 169 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61783026169896 and 61783026169905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61783026169961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13666768 + ... + 17616656.

It is an arithmetic number, because the mean of its divisors is an integer number (1516990803510).

Almost surely, 261783026169968 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 61783026169968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91019448210600).

61783026169968 is an abundant number, since it is smaller than the sum of its proper divisors (120255870251232).

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

61783026169968 is a wasteful number, since it uses less digits than its factorization.

61783026169968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955639 (or 3955630 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 61783026169968 in words is "sixty-one trillion, seven hundred eighty-three billion, twenty-six million, one hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5717 11434 17151 22868 34302 45736 51453 68604 91472 102906 108623 137208 205812 217246 274416 325869 411624 434492 651738 823248 868984 977607 1303476 1737968 1955214 2606952 3910428 3949889 5213904 7820856 7899778 11849667 15641712 15799556 23699334 31599112 35549001 47398668 63198224 71098002 75047891 94797336 142196004 150095782 189594672 225143673 284392008 300191564 450287346 568784016 600383128 675431019 900574692 1200766256 1350862038 1801149384 2701724076 3602298768 5403448152 10806896304 22581515413 45163030826 67744546239 90326061652 135489092478 180652123304 203233638717 270978184956 361304246608 406467277434 429048792847 541956369912 812934554868 858097585694 1083912739824 1287146378541 1625869109736 1716195171388 2574292757082 3251738219472 3432390342776 3861439135623 5148585514164 6864780685552 7722878271246 10297171028328 15445756542492 20594342056656 30891513084984 61783026169968