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2070653952 = 21038212
BaseRepresentation
bin111101101101011…
…1010110000000000
312100022022010020010
41323122322300000
513220041411302
6541245144520
7102212160663
oct17332726000
95308263203
102070653952
11972914a64
1249955b140
1326ccb4733
1415900b6da
15c1bbc16c
hex7b6bac00

2070653952 has 66 divisors (see below), whose sum is σ = 5525778244. Its totient is φ = 689377280.

The previous prime is 2070653951. The next prime is 2070653957. The reversal of 2070653952 is 2593560702.

It is a self number, because there is not a number n which added to its sum of digits gives 2070653952.

It is not an unprimeable number, because it can be changed into a prime (2070653951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2521702 + ... + 2522522.

Almost surely, 22070653952 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 2070653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762889122).

2070653952 is an abundant number, since it is smaller than the sum of its proper divisors (3455124292).

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

2070653952 is an frugal number, since it uses more digits than its factorization.

2070653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 2070653952 is about 45504.4388164495. The cubic root of 2070653952 is about 1274.5860918666.

The spelling of 2070653952 in words is "two billion, seventy million, six hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 821 1024 1536 1642 2463 3072 3284 4926 6568 9852 13136 19704 26272 39408 52544 78816 105088 157632 210176 315264 420352 630528 674041 840704 1261056 1348082 2022123 2522112 2696164 4044246 5392328 8088492 10784656 16176984 21569312 32353968 43138624 64707936 86277248 129415872 172554496 258831744 345108992 517663488 690217984 1035326976 2070653952