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2127731826688 = 2131321536881
BaseRepresentation
bin11110111101100110101…
…100110010000000000000
321112102001021210221201221
4132331212230302000000
5234330043321423223
64305244433204424
7306503115055156
oct36754654620000
97472037727657
102127731826688
11750403167816
122a4451100714
1312584b558300
1474da8a133d6
153a531b59b5d
hex1ef66b32000

2127731826688 has 84 divisors (see below), whose sum is σ = 4607709018498. Its totient is φ = 982029434880.

The previous prime is 2127731826677. The next prime is 2127731826691. The reversal of 2127731826688 is 8866281377212.

It can be written as a sum of positive squares in 3 ways, for example, as 1131823632384 + 995908194304 = 1063872^2 + 997952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616008 + ... + 2152888.

Almost surely, 22127731826688 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 2127731826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303854509249).

2127731826688 is an abundant number, since it is smaller than the sum of its proper divisors (2479977191810).

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

2127731826688 is an equidigital number, since it uses as much as digits as its factorization.

2127731826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536933 (or 1536896 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 2127731826688 in words is "two trillion, one hundred twenty-seven billion, seven hundred thirty-one million, eight hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 8192 10816 13312 21632 26624 43264 53248 86528 106496 173056 346112 692224 1384448 1536881 3073762 6147524 12295048 19979453 24590096 39958906 49180192 79917812 98360384 159835624 196720768 259732889 319671248 393441536 519465778 639342496 786883072 1038931556 1278684992 1573766144 2077863112 2557369984 3147532288 4155726224 5114739968 6295064576 8311452448 10229479936 12590129152 16622904896 20458959872 33245809792 40917919744 66491619584 81835839488 132983239168 163671678976 265966478336 531932956672 1063865913344 2127731826688