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1819642650642 = 234232970124023
BaseRepresentation
bin11010011110101011001…
…001110110000000010010
320102221211000200012120000
4122132223021312000102
5214303112004310032
63511533213030430
7245315304221055
oct32365311660022
96387730605500
101819642650642
11641784924863
122547aa785416
1310278c8926cb
14640dd432a9c
15324ee237e7c
hex1a7ab276012

1819642650642 has 160 divisors (see below), whose sum is σ = 4407796673280. Its totient is φ = 559347465600.

The previous prime is 1819642650629. The next prime is 1819642650659. The reversal of 1819642650642 is 2460562469181.

It is a happy number.

1819642650642 is a `hidden beast` number, since 1 + 8 + 1 + 96 + 4 + 2 + 6 + 506 + 42 = 666.

It is a super-2 number, since 2×18196426506422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75733843 + ... + 75757865.

It is an arithmetic number, because the mean of its divisors is an integer number (27548729208).

Almost surely, 21819642650642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819642650642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203898336640).

1819642650642 is an abundant number, since it is smaller than the sum of its proper divisors (2588154022638).

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

1819642650642 is a wasteful number, since it uses less digits than its factorization.

1819642650642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24790 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1819642650642 in words is "one trillion, eight hundred nineteen billion, six hundred forty-two million, six hundred fifty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 701 783 1242 1334 1402 1566 1863 2001 2103 2349 3726 4002 4206 4698 6003 6309 12006 12618 16123 18009 18927 20329 24023 32246 36018 37854 40658 48046 48369 54027 56781 60987 72069 96738 108054 113562 121974 144138 145107 182961 216207 290214 365922 432414 435321 467567 548883 552529 648621 696667 870642 935134 1097766 1105058 1297242 1305963 1393334 1402701 1646649 1657587 1945863 2090001 2611926 2805402 3293298 3315174 3891726 4180002 4208103 4972761 6270003 8416206 9945522 12540006 12624309 14918283 16023341 16840123 18810009 25248618 29836566 32046682 33680246 37620018 37872927 44754849 48070023 50520369 56430027 75745854 89509698 96140046 101040738 112860054 144210069 151561107 288420138 303122214 387322829 432630207 454683321 488363567 774645658 865260414 909366642 976727134 1161968487 1297890621 1364049963 1465090701 2323936974 2595781242 2728099926 2930181402 3485905461 4395272103 6971810922 8790544206 10457716383 11232362041 13185816309 20915432766 22464724082 26371632618 31373149149 33697086123 39557448927 62746298298 67394172246 79114897854 101091258369 202182516738 303273775107 606547550214 909821325321 1819642650642