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2026781690688 = 26331907615053
BaseRepresentation
bin11101011111100101100…
…110100100101101000000
321011202110220022200221000
4131133211212210231000
5231201322103100223
64151031325332000
7266300353055646
oct35374546445500
97152426280830
102026781690688
1171160a476457
12288979107000
13119180c49c21
147014d705196
1537ac42dd543
hex1d7e59a4b40

2026781690688 has 112 divisors (see below), whose sum is σ = 5961497002560. Its totient is φ = 675238528512.

The previous prime is 2026781690683. The next prime is 2026781690707. The reversal of 2026781690688 is 8860961876202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026781690683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2987770 + ... + 3602822.

Almost surely, 22026781690688 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 2026781690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980748501280).

2026781690688 is an abundant number, since it is smaller than the sum of its proper divisors (3934715311872).

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

2026781690688 is a wasteful number, since it uses less digits than its factorization.

2026781690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616981 (or 616965 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2026781690688 in words is "two trillion, twenty-six billion, seven hundred eighty-one million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1907 3814 5721 7628 11442 15256 17163 22884 30512 34326 45768 51489 61024 68652 91536 102978 122048 137304 183072 205956 274608 366144 411912 549216 615053 823824 1098432 1230106 1647648 1845159 2460212 3295296 3690318 4920424 5535477 7380636 9840848 11070954 14761272 16606431 19681696 22141908 29522544 33212862 39363392 44283816 59045088 66425724 88567632 118090176 132851448 177135264 265702896 354270528 531405792 1062811584 1172906071 2345812142 3518718213 4691624284 7037436426 9383248568 10556154639 14074872852 18766497136 21112309278 28149745704 31668463917 37532994272 42224618556 56299491408 63336927834 75065988544 84449237112 112598982816 126673855668 168898474224 225197965632 253347711336 337796948448 506695422672 675593896896 1013390845344 2026781690688