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3455221014260 = 22523107409171637
BaseRepresentation
bin110010010001111011001…
…110001001111011110100
3110020022112021220211012022
4302101323032021323310
5423102243034424020
611203150121412312
7504426412014551
oct62217316117364
913208467824168
103455221014260
111112395204444
1247978a63a098
131c0a977a0ac2
14bd33ad7da28
155ed29044625
hex3247b389ef4

3455221014260 has 96 divisors (see below), whose sum is σ = 7660931685120. Its totient is φ = 1306432816128.

The previous prime is 3455221014257. The next prime is 3455221014281. The reversal of 3455221014260 is 624101225543.

It is a self number, because there is not a number n which added to its sum of digits gives 3455221014260.

It is a congruent number.

It is an unprimeable number.

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, 20045162 + ... + 20216798.

It is an arithmetic number, because the mean of its divisors is an integer number (79801371720).

Almost surely, 23455221014260 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 3455221014260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830465842560).

3455221014260 is an abundant number, since it is smaller than the sum of its proper divisors (4205710670860).

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

3455221014260 is a wasteful number, since it uses less digits than its factorization.

3455221014260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172185 (or 172183 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 3455221014260 in words is "three trillion, four hundred fifty-five billion, two hundred twenty-one million, fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 409 428 460 535 818 1070 1636 2045 2140 2461 4090 4922 8180 9407 9844 12305 18814 24610 37628 43763 47035 49220 87526 94070 171637 175052 188140 218815 343274 437630 686548 858185 875260 1006549 1716370 2013098 3432740 3947651 4026196 5032745 7895302 10065490 15790604 18365159 19738255 20130980 36730318 39476510 70199533 73460636 78953020 91825795 140399066 183651590 280798132 350997665 367303180 422398657 701995330 844797314 1403990660 1614589259 1689594628 2111993285 3229178518 4223986570 6458357036 7511350031 8072946295 8447973140 15022700062 16145892590 30045400124 32291785180 37556750155 75113500310 150227000620 172761050713 345522101426 691044202852 863805253565 1727610507130 3455221014260