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20668061765358 = 23276123711134143
BaseRepresentation
bin1001011001100001010000…
…11110101100111011101110
32201011211212202112110221100
410230300220132230323232
510202111142302442413
6111542435420143530
74232134560233460
oct454605036547356
981154782473840
1020668061765358
116649304062297
122399738097ba6
13b6bcb3958b87
145164a793a130
1525c9550a2a73
hex12cc287aceee

20668061765358 has 96 divisors (see below), whose sum is σ = 52039027003392. Its totient is φ = 5805899726400.

The previous prime is 20668061765341. The next prime is 20668061765453. The reversal of 20668061765358 is 85356716086602.

20668061765358 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 0 + 617 + 6 + 5 + 3 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20668061765295 and 20668061765304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17656435 + ... + 18790577.

It is an arithmetic number, because the mean of its divisors is an integer number (542073197952).

Almost surely, 220668061765358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20668061765358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26019513501696).

20668061765358 is an abundant number, since it is smaller than the sum of its proper divisors (31370965238034).

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

20668061765358 is a wasteful number, since it uses less digits than its factorization.

20668061765358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136590 (or 1136587 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 20668061765358 in words is "twenty trillion, six hundred sixty-eight billion, sixty-one million, seven hundred sixty-five thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2371 2562 3843 4742 7113 7686 14226 16597 21339 33194 42678 49791 99582 144631 149373 289262 298746 433893 867786 1012417 1134143 1301679 2024834 2268286 2603358 3037251 3402429 6074502 6804858 7939001 9111753 10207287 15878002 18223506 20414574 23817003 47634006 69182723 71451009 138365446 142902018 207548169 415096338 484279061 622644507 968558122 1245289014 1452837183 2689053053 2905674366 4358511549 5378106106 8067159159 8717023098 16134318318 18823371371 24201477477 37646742742 48402954954 56470114113 112940228226 164032236233 169410342339 328064472466 338820684678 492096708699 984193417398 1148225653631 1476290126097 2296451307262 2952580252194 3444676960893 6889353921786 10334030882679 20668061765358