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20414943103056 = 2432321634932461
BaseRepresentation
bin1001010010001001110010…
…11011101000100001010000
32200021122112111010011101220
410221010321123220201100
510133434300413244211
6111230255000525040
74204634215141005
oct451047133504120
980248474104356
1020414943103056
116560a2418a987
122358677180780
13b51175739698
14508134c738ac
1525608d5a5806
hex1291396e8850

20414943103056 has 120 divisors (see below), whose sum is σ = 55469520619296. Its totient is φ = 6469177777920.

The previous prime is 20414943103021. The next prime is 20414943103057. The reversal of 20414943103056 is 65030134941402.

It is a junction number, because it is equal to n+sod(n) for n = 20414943102999 and 20414943103017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414943103057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672666 + ... + 6605126.

Almost surely, 220414943103056 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 20414943103056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734760309648).

20414943103056 is an abundant number, since it is smaller than the sum of its proper divisors (35054577516240).

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

20414943103056 is a wasteful number, since it uses less digits than its factorization.

20414943103056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932681 (or 4932652 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 20414943103056 in words is "twenty trillion, four hundred fourteen billion, nine hundred forty-three million, one hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 163 184 276 326 368 489 529 552 652 978 1058 1104 1304 1587 1956 2116 2608 3174 3749 3912 4232 6348 7498 7824 8464 11247 12696 14996 22494 25392 29992 44988 59984 86227 89976 172454 179952 258681 344908 517362 689816 1034724 1379632 2069448 4138896 4932461 9864922 14797383 19729844 29594766 39459688 59189532 78919376 113446603 118379064 226893206 236758128 340339809 453786412 680679618 803991143 907572824 1361359236 1607982286 1815145648 2411973429 2609271869 2722718472 3215964572 4823946858 5218543738 5445436944 6431929144 7827815607 9647893716 10437087476 12863858288 15655631214 18491796289 19295787432 20874174952 31311262428 36983592578 38591574864 41748349904 55475388867 62622524856 73967185156 110950777734 125245049712 147934370312 221901555468 295868740624 425311314647 443803110936 850622629294 887606221872 1275933943941 1701245258588 2551867887882 3402490517176 5103735775764 6804981034352 10207471551528 20414943103056