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81682414359 = 37135973127547
BaseRepresentation
bin100110000010010100…
…1101011101100010111
321210211120212120121220
41030010221223230113
52314241144224414
6101305133341423
75621111031510
oct1140451535427
9253746776556
1081682414359
1131706658977
12139b7337873
137919864b80
143d4c3a3a07
1521d104bca9
hex1304a6bb17

81682414359 has 128 divisors (see below), whose sum is σ = 139524833280. Its totient is φ = 41370061824.

The previous prime is 81682414349. The next prime is 81682414399. The reversal of 81682414359 is 95341428618.

It is not a de Polignac number, because 81682414359 - 212 = 81682410263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81682414349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149327724 + ... + 149328270.

It is an arithmetic number, because the mean of its divisors is an integer number (1090037760).

Almost surely, 281682414359 is an apocalyptic number.

81682414359 is a deficient number, since it is larger than the sum of its proper divisors (57842418921).

81682414359 is a wasteful number, since it uses less digits than its factorization.

81682414359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829.

The product of its digits is 1658880, while the sum is 51.

The spelling of 81682414359 in words is "eighty-one billion, six hundred eighty-two million, four hundred fourteen thousand, three hundred fifty-nine".

Divisors: 1 3 7 13 21 39 59 73 91 127 177 219 273 381 413 511 547 767 889 949 1239 1533 1641 1651 2301 2667 2847 3829 4307 4953 5369 6643 7111 7493 9271 11487 11557 12921 16107 19929 21333 22479 27813 30149 32273 34671 39931 49777 52451 55991 64897 69469 90447 96819 97409 119793 120523 149331 157353 167973 194691 208407 225911 279517 292227 361569 391937 419549 486283 519103 546989 677733 681863 838551 843661 903097 1175811 1258647 1458849 1557309 1640967 2045589 2355929 2530983 2709291 2936843 3633721 3828923 4098671 5071237 6321679 7067787 7110857 8810529 10901163 11486769 12296013 15213711 16491503 18965037 21332571 28690697 30627077 35498659 49474509 49775999 53282723 65926081 86072091 91881231 106495977 149327997 159848169 197778243 214389539 299202983 372979061 461482567 643168617 897608949 1118937183 1384447701 2094420881 3889638779 6283262643 11668916337 27227471453 81682414359