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11866793389312 = 283110325157839
BaseRepresentation
bin1010110010101111010000…
…0000010010110100000000
31120000110021020100011020211
42230223310000102310000
53023411143101424222
641123310222043504
72333230126342651
oct254536400226400
946013236304224
1011866793389312
1138657515576a4
1213b7a45119594
136810593a35a4
142d04da6c7528
15158a38805277
hexacaf4012d00

11866793389312 has 144 divisors (see below), whose sum is σ = 24787518013440. Its totient is φ = 5663496960000.

The previous prime is 11866793389279. The next prime is 11866793389333. The reversal of 11866793389312 is 21398339766811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205140489 + ... + 205198327.

It is an arithmetic number, because the mean of its divisors is an integer number (172135541760).

Almost surely, 211866793389312 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 11866793389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393759006720).

11866793389312 is an abundant number, since it is smaller than the sum of its proper divisors (12920724624128).

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

11866793389312 is a wasteful number, since it uses less digits than its factorization.

11866793389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58240 (or 58226 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

The spelling of 11866793389312 in words is "eleven trillion, eight hundred sixty-six billion, seven hundred ninety-three million, three hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 128 206 248 251 256 412 496 502 824 992 1004 1648 1984 2008 3193 3296 3968 4016 6386 6592 7781 7936 8032 12772 13184 15562 16064 25544 25853 26368 31124 32128 51088 51706 57839 62248 64256 102176 103412 115678 124496 204352 206824 231356 248992 408704 413648 462712 497984 801443 817408 827296 925424 995968 1602886 1654592 1793009 1850848 1991936 3205772 3309184 3586018 3701696 5957417 6411544 6618368 7172036 7403392 11914834 12823088 14344072 14517589 14806784 23829668 25646176 28688144 29035178 47659336 51292352 57376288 58070356 95318672 102584704 114752576 116140712 184679927 190637344 205169408 229505152 232281424 369359854 381274688 450045259 459010304 464562848 738719708 762549376 900090518 929125696 1477439416 1495311667 1525098752 1800181036 1858251392 2954878832 2990623334 3600362072 3716502784 5909757664 5981246668 7200724144 11819515328 11962493336 14401448288 23639030656 23924986672 28802896576 46354661677 47278061312 47849973344 57605793152 92709323354 95699946688 115211586304 185418646708 191399893376 370837293416 382799786752 741674586832 1483349173664 2966698347328 5933396694656 11866793389312