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2089666496016 = 2433114339101347
BaseRepresentation
bin11110011010001001110…
…101000100011000010000
321101202210110011210122000
4132122021311010120100
5233214114110333031
64235551325114000
7303654612100551
oct36321165043020
97352713153560
102089666496016
1173624a294450
12298ba90b8900
131220932579c8
14731d7376328
1539554e2d3e6
hex1e689d44610

2089666496016 has 160 divisors (see below), whose sum is σ = 6544972761600. Its totient is φ = 633080085120.

The previous prime is 2089666496011. The next prime is 2089666496041. The reversal of 2089666496016 is 6106946669802.

It is not an unprimeable number, because it can be changed into a prime (2089666496011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20568255 + ... + 20669601.

It is an arithmetic number, because the mean of its divisors is an integer number (40906079760).

Almost surely, 22089666496016 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 2089666496016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272486380800).

2089666496016 is an abundant number, since it is smaller than the sum of its proper divisors (4455306265584).

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

2089666496016 is a wasteful number, since it uses less digits than its factorization.

2089666496016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105714 (or 105702 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2089666496016 in words is "two trillion, eighty-nine billion, six hundred sixty-six million, four hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4339 4752 8678 13017 17356 26034 34712 39051 47729 52068 69424 78102 95458 101347 104136 117153 143187 156204 190916 202694 208272 234306 286374 304041 312408 381832 405388 429561 468612 572748 608082 624816 763664 810776 859122 912123 937224 1114817 1145496 1216164 1288683 1621552 1718244 1824246 1874448 2229634 2290992 2432328 2577366 2736369 3344451 3436488 3648492 4459268 4864656 5154732 5472738 6688902 6872976 7296984 8918536 10033353 10309464 10945476 13377804 14593968 17837072 20066706 20618928 21890952 26755608 30100059 40133412 43781904 53511216 60200118 80266824 120400236 160533648 240800472 439744633 481600944 879489266 1319233899 1758978532 2638467798 3517957064 3957701697 4837190963 5276935596 7035914128 7915403394 9674381926 10553871192 11873105091 14511572889 15830806788 19348763852 21107742384 23746210182 29023145778 31661613576 38697527704 43534718667 47492420364 58046291556 63323227152 77395055408 87069437334 94984840728 116092583112 130604156001 174138874668 189969681456 232185166224 261208312002 348277749336 522416624004 696555498672 1044833248008 2089666496016