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2086770816 = 27331346447
BaseRepresentation
bin111110001100001…
…1001100010000000
312101102121221102000
41330120121202000
513233203131231
6543022424000
7102466154634
oct17430314200
95342557360
102086770816
11980a22889
124a2a32000
13273438540
1415b204dc4
15c33026e6
hex7c619880

2086770816 has 128 divisors (see below), whose sum is σ = 6632774400. Its totient is φ = 642069504.

The previous prime is 2086770787. The next prime is 2086770827. The reversal of 2086770816 is 6180776802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20867708162 = 8709224877018611712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21705 + ... + 68151.

It is an arithmetic number, because the mean of its divisors is an integer number (51818550).

Almost surely, 22086770816 is an apocalyptic number.

2086770816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316387200).

2086770816 is an abundant number, since it is smaller than the sum of its proper divisors (4546003584).

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

2086770816 is a wasteful number, since it uses less digits than its factorization.

2086770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46483 (or 46465 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2086770816 is about 45681.1866746038. The cubic root of 2086770816 is about 1277.8844481035.

The spelling of 2086770816 in words is "two billion, eighty-six million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 46447 92894 139341 185788 278682 371576 418023 557364 603811 743152 836046 1114728 1207622 1254069 1486304 1672092 1811433 2229456 2415244 2508138 2972608 3344184 3622866 4458912 4830488 5016276 5434299 5945216 6688368 7245732 8917824 9660976 10032552 10868598 13376736 14491464 16302897 17835648 19321952 20065104 21737196 26753472 28982928 32605794 38643904 40130208 43474392 53506944 57965856 65211588 77287808 80260416 86948784 115931712 130423176 160520832 173897568 231863424 260846352 347795136 521692704 695590272 1043385408 2086770816