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3484292475264 = 27348718631783
BaseRepresentation
bin110010101101000000000…
…000111110100110000000
3110100002120100000001112020
4302231000000332212000
5424041312333202024
611224354544001440
7506506005242616
oct62550000764600
913302510001466
103484292475264
1111237532a3377
12483342600280
131c374b689533
14c08d7d5d6b6
156097b3a5979
hex32b4003e980

3484292475264 has 64 divisors (see below), whose sum is σ = 9274156803840. Its totient is φ = 1159045894656.

The previous prime is 3484292475247. The next prime is 3484292475269. The reversal of 3484292475264 is 4625742924843.

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

It is a junction number, because it is equal to n+sod(n) for n = 3484292475198 and 3484292475207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484292475269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9128884 + ... + 9502899.

It is an arithmetic number, because the mean of its divisors is an integer number (144908700060).

Almost surely, 23484292475264 is an apocalyptic number.

It is an amenable number.

3484292475264 is an abundant number, since it is smaller than the sum of its proper divisors (5789864328576).

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

3484292475264 is a wasteful number, since it uses less digits than its factorization.

3484292475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18632287 (or 18632275 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 60.

The spelling of 3484292475264 in words is "three trillion, four hundred eighty-four billion, two hundred ninety-two million, four hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 487 974 1461 1948 2922 3896 5844 7792 11688 15584 23376 31168 46752 62336 93504 187008 18631783 37263566 55895349 74527132 111790698 149054264 223581396 298108528 447162792 596217056 894325584 1192434112 1788651168 2384868224 3577302336 7154604672 9073678321 18147356642 27221034963 36294713284 54442069926 72589426568 108884139852 145178853136 217768279704 290357706272 435536559408 580715412544 871073118816 1161430825088 1742146237632 3484292475264