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2070679359056 = 247117337016221
BaseRepresentation
bin11110001000011110000…
…110111000111001010000
321022221210012112022021012
4132020132012320321100
5232411222403442211
64223131300550052
7302413236100250
oct36103606707120
97287705468235
102070679359056
11729196574420
1229538a3b2328
13120358672019
14723157c9960
1538ce3084d8b
hex1e21e1b8e50

2070679359056 has 160 divisors (see below), whose sum is σ = 5072605261056. Its totient is φ = 795363840000.

The previous prime is 2070679359053. The next prime is 2070679359061. The reversal of 2070679359056 is 6509539760702.

It is a super-2 number, since 2×20706793590562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2070679358986 and 2070679359004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070679359053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332850026 + ... + 332856246.

Almost surely, 22070679359056 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 2070679359056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536302630528).

2070679359056 is an abundant number, since it is smaller than the sum of its proper divisors (3001925902000).

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

2070679359056 is a wasteful number, since it uses less digits than its factorization.

2070679359056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 59.

The spelling of 2070679359056 in words is "two trillion, seventy billion, six hundred seventy-nine million, three hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 73 77 88 112 146 154 176 292 308 511 584 616 803 1022 1168 1232 1606 2044 3212 3701 4088 5621 6221 6424 7402 8176 11242 12442 12848 14804 22484 24884 25907 29608 40711 43547 44968 49768 51814 59216 68431 81422 87094 89936 99536 103628 136862 162844 174188 207256 270173 273724 284977 325688 348376 414512 454133 479017 540346 547448 569954 651376 696752 908266 958034 1080692 1094896 1139908 1816532 1891211 1916068 2161384 2279816 2971903 3178931 3633064 3782422 3832136 4322768 4559632 4995463 5943806 6357862 7266128 7564844 7664272 9990926 11887612 12715724 15129688 19981852 20803321 23023921 23775224 25431448 30259376 34968241 39963704 41606642 46047842 47550448 50862896 69936482 79927408 83213284 92095684 139872964 161167447 166426568 184191368 253263131 279745928 322334894 332853136 368382736 506526262 559491856 644669788 1013052524 1289339576 1680746233 1772841917 2026105048 2578679152 3361492466 3545683834 4052210096 6722984932 7091367668 11765223631 13445969864 14182735336 18488208563 23530447262 26891939728 28365470672 36976417126 47060894524 73952834252 94121789048 129417459941 147905668504 188243578096 258834919882 295811337008 517669839764 1035339679528 2070679359056