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64068768501822 = 232723163713505147
BaseRepresentation
bin11101001000101001011000…
…01100000001000000111110
322101211220200122011001212100
432210110230030001000332
531344200314214024242
6344132441432045530
716331546544524520
oct1644245414010076
9271756618131770
1064068768501822
1119461459605a57
127228b58b338a6
13299987491c206
1411b6d32cbda10
15761897eb054c
hex3a452c30103e

64068768501822 has 96 divisors (see below), whose sum is σ = 165645285990912. Its totient is φ = 17498779733952.

The previous prime is 64068768501757. The next prime is 64068768501823. The reversal of 64068768501822 is 22810586786046.

64068768501822 is a `hidden beast` number, since 6 + 4 + 0 + 68 + 7 + 68 + 501 + 8 + 2 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 64068768501822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64068768501823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2008548 + ... + 11496599.

It is an arithmetic number, because the mean of its divisors is an integer number (1725471729072).

Almost surely, 264068768501822 is an apocalyptic number.

64068768501822 is an abundant number, since it is smaller than the sum of its proper divisors (101576517489090).

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

64068768501822 is a wasteful number, since it uses less digits than its factorization.

64068768501822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13506822 (or 13506819 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 64068768501822 in words is "sixty-four trillion, sixty-eight billion, seven hundred sixty-eight million, five hundred one thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 1637 2898 3274 4911 9822 11459 14733 22918 29466 34377 37651 68754 75302 103131 112953 206262 225906 263557 338859 527114 677718 790671 1581342 2372013 4744026 13505147 27010294 40515441 81030882 94536029 121546323 189072058 243092646 283608087 310618381 567216174 621236762 850824261 931855143 1701648522 1863710286 2174328667 2795565429 4348657334 5591130858 6522986001 13045972002 19568958003 22107925639 39137916006 44215851278 66323776917 132647553834 154755479473 198971330751 309510958946 397942661502 464266438419 508482289697 928532876838 1016964579394 1392799315257 1525446869091 2785598630514 3050893738182 3559376027879 4576340607273 7118752055758 9152681214546 10678128083637 21356256167274 32034384250911 64068768501822