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220960827993 = 3449373343943
BaseRepresentation
bin1100110111001001001…
…0101010101001011001
3210010100010210001222010
43031302102222221121
512110011432443433
6245301421220133
721651421022463
oct3156222525131
9703303701863
10220960827993
1185788699544
12369a7401649
1317ab4a9a289
14a9a1c39133
155b33734e63
hex33724aaa59

220960827993 has 16 divisors (see below), whose sum is σ = 295356412800. Its totient is φ = 146936423424.

The previous prime is 220960827979. The next prime is 220960828003. The reversal of 220960827993 is 399728069022.

220960827993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220960827993 - 217 = 220960696921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220960825993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5006380 + ... + 5050322.

It is an arithmetic number, because the mean of its divisors is an integer number (18459775800).

Almost surely, 2220960827993 is an apocalyptic number.

It is an amenable number.

220960827993 is a deficient number, since it is larger than the sum of its proper divisors (74395584807).

220960827993 is a wasteful number, since it uses less digits than its factorization.

220960827993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48128.

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 220960827993 in words is "two hundred twenty billion, nine hundred sixty million, eight hundred twenty-seven thousand, nine hundred ninety-three".

Divisors: 1 3 449 1347 3733 11199 43943 131829 1676117 5028351 19730407 59191221 164039219 492117657 73653609331 220960827993