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34220544645 = 3573782710651
BaseRepresentation
bin11111110111101101…
…000001001010000101
310021022212222210012110
4133313231001022011
51030040424412040
623415401011233
72321005554510
oct376755011205
9107285883173
1034220544645
1113570672761
126770483b19
1332c48b50b1
141928babd77
15d54415980
hex7f7b41285

34220544645 has 64 divisors (see below), whose sum is σ = 64349669376. Its totient is φ = 15201043200.

The previous prime is 34220544637. The next prime is 34220544653. The reversal of 34220544645 is 54644502243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34220544637) and next prime (34220544653).

It is not a de Polignac number, because 34220544645 - 23 = 34220544637 is a prime.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3207570 + ... + 3218220.

It is an arithmetic number, because the mean of its divisors is an integer number (1005463584).

Almost surely, 234220544645 is an apocalyptic number.

34220544645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34220544645 is a deficient number, since it is larger than the sum of its proper divisors (30129124731).

34220544645 is a wasteful number, since it uses less digits than its factorization.

34220544645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530.

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 34220544645 in words is "thirty-four billion, two hundred twenty million, five hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 777 827 1295 2481 3885 4135 5789 10651 12405 17367 28945 30599 31953 53255 74557 86835 91797 152995 159765 214193 223671 372785 394087 458985 642579 1070965 1118355 1182261 1970435 2758609 3212895 5911305 8275827 8808377 13793045 26425131 41379135 44041885 61658639 132125655 184975917 308293195 325909949 924879585 977729847 1629549745 2281369643 4888649235 6844108929 11406848215 34220544645