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46422266222464 = 271135149938017
BaseRepresentation
bin10101000111000100001101…
…01100000001011110000000
320002100220222112212020020121
422203202012230001132000
522041040300123104324
6242422032241550024
712530620014163336
oct1243420654013600
9202326875766217
1046422266222464
1113878633069370
125258b43045314
131cb97a72ba152
14b66bc770bb56
1555783a2675e4
hex2a3886b01780

46422266222464 has 64 divisors (see below), whose sum is σ = 100892278062000. Its totient is φ = 21100407275520.

The previous prime is 46422266222461. The next prime is 46422266222473.

46422266222464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46422266222461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49020784 + ... + 49958800.

Almost surely, 246422266222464 is an apocalyptic number.

46422266222464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46422266222464 is an abundant number, since it is smaller than the sum of its proper divisors (54470011839536).

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

46422266222464 is a wasteful number, since it uses less digits than its factorization.

46422266222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973191 (or 973179 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 46422266222464 in words is "forty-six trillion, four hundred twenty-two billion, two hundred sixty-six million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 35149 70298 140596 281192 386639 562384 773278 938017 1124768 1546556 1876034 2249536 3093112 3752068 4499072 6186224 7504136 10318187 12372448 15008272 20636374 24744896 30016544 41272748 49489792 60033088 82545496 120066176 165090992 330181984 660363968 1320727936 32970359533 65940719066 131881438132 263762876264 362673954863 527525752528 725347909726 1055051505056 1450695819452 2110103010112 2901391638904 4220206020224 5802783277808 11605566555616 23211133111232 46422266222464