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81537746120070 = 23537709277737309
BaseRepresentation
bin10010100010100001111100…
…011001001010110110000110
3101200200221011201110201211120
4102202201330121022312012
541141403301001320240
6445225531244414410
723113623234353232
oct2242417431126606
9350627151421746
1081537746120070
1123a86a67000189
12918a68a247406
133665c903b32c6
14161c63b3275c2
15965eb59a8ad0
hex4a287c64ad86

81537746120070 has 128 divisors (see below), whose sum is σ = 201340865980800. Its totient is φ = 21117727199232.

The previous prime is 81537746119997. The next prime is 81537746120141. The reversal of 81537746120070 is 7002164773518.

It is a junction number, because it is equal to n+sod(n) for n = 81537746119995 and 81537746120022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185452576 + ... + 2185489884.

It is an arithmetic number, because the mean of its divisors is an integer number (1572975515475).

Almost surely, 281537746120070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81537746120070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100670432990400).

81537746120070 is an abundant number, since it is smaller than the sum of its proper divisors (119803119860730).

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

81537746120070 is a wasteful number, since it uses less digits than its factorization.

81537746120070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 81537746120070 in words is "eighty-one trillion, five hundred thirty-seven billion, seven hundred forty-six million, one hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 709 1110 1418 2127 2777 3545 4254 5554 7090 8331 10635 13885 16662 21270 26233 27770 37309 41655 52466 74618 78699 83310 102749 111927 131165 157398 186545 205498 223854 262330 308247 373090 393495 513745 559635 616494 786990 1027490 1119270 1380433 1541235 1968893 2760866 3082470 3937786 4141299 5906679 6902165 8282598 9844465 11813358 13804330 19688930 20706495 26452081 29533395 41412990 52904162 59066790 72849041 79356243 103607093 132260405 145698082 158712486 207214186 218547123 264520810 310821279 364245205 396781215 437094246 518035465 621642558 728490410 793562430 978726997 1036070930 1092735615 1554106395 1957453994 2185471230 2936180991 3108212790 3833462441 4893634985 5872361982 7666924882 9787269970 11500387323 14680904955 19167312205 23000774646 29361809910 38334624410 57501936615 73457428937 115003873230 146914857874 220372286811 367287144685 440744573622 734574289370 1101861434055 2203722868110 2717924870669 5435849741338 8153774612007 13589624353345 16307549224014 27179248706690 40768873060035 81537746120070