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122226540526464 = 27311292773602167
BaseRepresentation
bin11011110010101000010101…
…100001111011101110000000
3121000202202001202121000020120
4123302220111201323232000
5112010024423333321324
61111542033023340240
734513401421325343
oct3362502541735600
9530682052530216
10122226540526464
1135a43a91762590
12118603a5151680
135327bb472802a
142227b207da45a
15e1e5d5b2c179
hex6f2a1587bb80

122226540526464 has 256 divisors, whose sum is σ = 367715072908800. Its totient is φ = 35632049725440.

The previous prime is 122226540526463. The next prime is 122226540526579. The reversal of 122226540526464 is 464625045622221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122226540526463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32130309 + ... + 35732475.

It is an arithmetic number, because the mean of its divisors is an integer number (1436387003550).

Almost surely, 2122226540526464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122226540526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183857536454400).

122226540526464 is an abundant number, since it is smaller than the sum of its proper divisors (245488532382336).

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

122226540526464 is a wasteful number, since it uses less digits than its factorization.

122226540526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602501 (or 3602489 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 122226540526464 in words is "one hundred twenty-two trillion, two hundred twenty-six billion, five hundred forty million, five hundred twenty-six thousand, four hundred sixty-four".