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4405940921767 = 71179724303949
BaseRepresentation
bin100000000011101011010…
…0010110010010110100111
3120121012111121011011111111
41000013112202302112213
51034141331333444032
613212021124445451
7633214215624550
oct100072642622647
916535447134444
104405940921767
111449604873470
125b1a98849887
1325c62b1b92a8
1411336a533327
157991e21bc47
hex401d68b25a7

4405940921767 has 16 divisors (see below), whose sum is σ = 5562654336000. Its totient is φ = 3389742476640.

The previous prime is 4405940921713. The next prime is 4405940921771. The reversal of 4405940921767 is 7671290495044.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4405940921767 is a prime.

It is a super-2 number, since 2×44059409217672 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405940921267) 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, 362145892 + ... + 362158057.

It is an arithmetic number, because the mean of its divisors is an integer number (347665896000).

Almost surely, 24405940921767 is an apocalyptic number.

4405940921767 is a deficient number, since it is larger than the sum of its proper divisors (1156713414233).

4405940921767 is a wasteful number, since it uses less digits than its factorization.

4405940921767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724304046.

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 4405940921767 in words is "four trillion, four hundred five billion, nine hundred forty million, nine hundred twenty-one thousand, seven hundred sixty-seven".

Divisors: 1 7 11 77 79 553 869 6083 724303949 5070127643 7967343439 55771404073 57220011971 400540083797 629420131681 4405940921767