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2070345472 = 28133971567
BaseRepresentation
bin111101101100110…
…1111011100000000
312100021201110001221
41323121233130000
513220002023342
6541234404424
7102206434426
oct17331573400
95307643057
102070345472
11972724218
12499430714
1326cc071c0
14158d6b116
15c1b5aa67
hex7b66f700

2070345472 has 72 divisors (see below), whose sum is σ = 4464553856. Its totient is φ = 952528896.

The previous prime is 2070345463. The next prime is 2070345503. The reversal of 2070345472 is 2745430702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320433 + ... + 1321999.

Almost surely, 22070345472 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 2070345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232276928).

2070345472 is an abundant number, since it is smaller than the sum of its proper divisors (2394208384).

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

2070345472 is a wasteful number, since it uses less digits than its factorization.

2070345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 2070345472 is about 45501.0491307618. The cubic root of 2070345472 is about 1274.5227940143.

The spelling of 2070345472 in words is "two billion, seventy million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 397 416 794 832 1567 1588 1664 3134 3176 3328 5161 6268 6352 10322 12536 12704 20371 20644 25072 25408 40742 41288 50144 50816 81484 82576 100288 101632 162968 165152 200576 325936 330304 401152 622099 651872 660608 1244198 1303744 1321216 2488396 2607488 4976792 5214976 8087287 9953584 16174574 19907168 32349148 39814336 64698296 79628672 129396592 159257344 258793184 517586368 1035172736 2070345472