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2146607472 = 243433592897
BaseRepresentation
bin111111111110010…
…1010000101110000
312112121012221212110
41333330222011300
513344012414342
6553001125320
7104123601552
oct17774520560
95477187773
102146607472
11a01781a69
124baa89840
13282959049
1416513d4d2
15c86c1c9c
hex7ff2a170

2146607472 has 80 divisors (see below), whose sum is σ = 5692135680. Its totient is φ = 696708096.

The previous prime is 2146607417. The next prime is 2146607497. The reversal of 2146607472 is 2747066412.

It is a self number, because there is not a number n which added to its sum of digits gives 2146607472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739528 + ... + 742424.

It is an arithmetic number, because the mean of its divisors is an integer number (71151696).

Almost surely, 22146607472 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 2146607472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846067840).

2146607472 is an abundant number, since it is smaller than the sum of its proper divisors (3545528208).

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

2146607472 is a wasteful number, since it uses less digits than its factorization.

2146607472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2146607472 is about 46331.4954647484. The cubic root of 2146607472 is about 1289.9836690439.

The spelling of 2146607472 in words is "two billion, one hundred forty-six million, six hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 359 516 688 718 1032 1077 1436 2064 2154 2872 2897 4308 5744 5794 8616 8691 11588 15437 17232 17382 23176 30874 34764 46311 46352 61748 69528 92622 123496 124571 139056 185244 246992 249142 370488 373713 498284 740976 747426 996568 1040023 1494852 1993136 2080046 2989704 3120069 4160092 5979408 6240138 8320184 12480276 16640368 24960552 44720989 49921104 89441978 134162967 178883956 268325934 357767912 536651868 715535824 1073303736 2146607472