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12063764263848 = 233112411201157877
BaseRepresentation
bin1010111110001101000001…
…1000100011001110101000
31120201021200110210022210020
42233203100120203032220
53040123042122420343
641354003343320440
72353402216220253
oct257432030431650
946637613708706
1012063764263848
113931239475020
12142a0562b0120
136967b9c8131b
142d9c6438009a
1515dc15d80b83
hexaf8d06233a8

12063764263848 has 128 divisors (see below), whose sum is σ = 33065412589440. Its totient is φ = 3637463040000.

The previous prime is 12063764263823. The next prime is 12063764263937. The reversal of 12063764263848 is 84836246736021.

It is a Cunningham number, because it is equal to 34732932-1.

It is a junction number, because it is equal to n+sod(n) for n = 12063764263791 and 12063764263800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76333486 + ... + 76491362.

It is an arithmetic number, because the mean of its divisors is an integer number (258323535855).

Almost surely, 212063764263848 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 12063764263848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532706294720).

12063764263848 is an abundant number, since it is smaller than the sum of its proper divisors (21001648325592).

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

12063764263848 is a wasteful number, since it uses less digits than its factorization.

12063764263848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159339 (or 159335 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 12063764263848 in words is "twelve trillion, sixty-three billion, seven hundred sixty-four million, two hundred sixty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 1201 1446 1928 2402 2651 2892 3603 4804 5302 5784 7206 7953 9608 10604 13211 14412 15906 21208 26422 28824 31812 39633 52844 63624 79266 105688 157877 158532 289441 315754 317064 473631 578882 631508 868323 947262 1157764 1263016 1736646 1736647 1894524 2315528 3183851 3473292 3473294 3789048 5209941 6367702 6946584 6946588 9551553 10419882 12735404 13893176 19103106 20839764 25470808 38048357 38206212 41679528 76096714 76412424 114145071 152193428 189610277 228290142 304386856 379220554 418531927 456580284 568830831 758441108 837063854 913160568 1137661662 1255595781 1516882216 1674127708 2085713047 2275323324 2511191562 3348255416 4171426094 4550646648 5022383124 6257139141 8342852188 10044766248 12514278282 16685704376 25028556564 45696076757 50057113128 91392153514 137088230271 182784307028 274176460542 365568614056 502656844327 548352921084 1005313688654 1096705842168 1507970532981 2010627377308 3015941065962 4021254754616 6031882131924 12063764263848