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2163064007454 = 2371783113323009
BaseRepresentation
bin11111011110100000101…
…010010110101100011110
321122210020122112201000120
4133132200222112230132
5240414423341214304
64333410424335410
7312163512461430
oct37364052265436
97583218481016
102163064007454
11764394272109
122ab271914566
13128c8c53654c
147699b2ac650
153b3ed9540d9
hex1f7a0a96b1e

2163064007454 has 128 divisors (see below), whose sum is σ = 5344952417280. Its totient is φ = 569569050624.

The previous prime is 2163064007399. The next prime is 2163064007477. The reversal of 2163064007454 is 4547004603612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6535102 + ... + 6858110.

It is an arithmetic number, because the mean of its divisors is an integer number (41757440760).

Almost surely, 22163064007454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163064007454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672476208640).

2163064007454 is an abundant number, since it is smaller than the sum of its proper divisors (3181888409826).

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

2163064007454 is a wasteful number, since it uses less digits than its factorization.

2163064007454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323234.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2163064007454 in words is "two trillion, one hundred sixty-three billion, sixty-four million, seven thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 83 102 113 119 166 226 238 249 339 357 498 581 678 714 791 1162 1411 1582 1743 1921 2373 2822 3486 3842 4233 4746 5763 8466 9379 9877 11526 13447 18758 19754 26894 28137 29631 40341 56274 59262 65653 80682 131306 159443 196959 318886 323009 393918 478329 646018 956658 969027 1116101 1938054 2232202 2261063 3348303 4522126 5491153 6696606 6783189 10982306 13566378 16473459 26809747 32946918 36500017 38438071 53619494 73000034 76876142 80429241 109500051 115314213 160858482 187668229 219000102 230628426 255500119 375336458 455765699 511000238 563004687 620500289 766500357 911531398 1126009374 1241000578 1367297097 1533000714 1861500867 2734594194 3029501411 3190359893 3723001734 4343502023 6059002822 6380719786 8687004046 9088504233 9571079679 13030506069 18177008466 19142159358 21206509877 26061012138 42413019754 51501523987 63619529631 103003047974 127239059262 154504571961 309009143922 360510667909 721021335818 1081532003727 2163064007454