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2070669312 = 2113337447
BaseRepresentation
bin111101101101011…
…1110100000000000
312100022022220022000
41323122332200000
513220042404222
6541245344000
7102212253525
oct17332764000
95308286260
102070669312
11972925558
12499568000
1326ccbb71a
1415901314c
15c1bc19ac
hex7b6be800

2070669312 has 96 divisors (see below), whose sum is σ = 6133982400. Its totient is φ = 690204672.

The previous prime is 2070669299. The next prime is 2070669329. The reversal of 2070669312 is 2139660702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36573 + ... + 74019.

It is an arithmetic number, because the mean of its divisors is an integer number (63895650).

Almost surely, 22070669312 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 2070669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066991200).

2070669312 is an abundant number, since it is smaller than the sum of its proper divisors (4063313088).

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

2070669312 is an equidigital number, since it uses as much as digits as its factorization.

2070669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37478 (or 37452 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2070669312 is about 45504.6075908803. The cubic root of 2070669312 is about 1274.5892434626.

The spelling of 2070669312 in words is "two billion, seventy million, six hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 37447 55296 74894 112341 149788 224682 299576 337023 449364 599152 674046 898728 1011069 1198304 1348092 1797456 2022138 2396608 2696184 3594912 4044276 4793216 5392368 7189824 8088552 9586432 10784736 14379648 16177104 19172864 21569472 28759296 32354208 38345728 43138944 57518592 64708416 76691456 86277888 115037184 129416832 172555776 230074368 258833664 345111552 517667328 690223104 1035334656 2070669312