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20411022423660 = 22351113921600631
BaseRepresentation
bin1001010010000010011111…
…01111011011011001101100
32200021021102020200000100220
410221001033233123121230
510133403233220024120
6111224405543051340
74204435110000561
oct451011757333154
980237366600326
1020411022423660
11655a2a2053480
122357962140b50
13b5099c39b04b
14507c8228a868
15255e0e29cb40
hex12904fbdb66c

20411022423660 has 144 divisors (see below), whose sum is σ = 62798197093632. Its totient is φ = 4912525545600.

The previous prime is 20411022423643. The next prime is 20411022423683. The reversal of 20411022423660 is 6632422011402.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 11951545 + ... + 13552175.

It is an arithmetic number, because the mean of its divisors is an integer number (436098590928).

Almost surely, 220411022423660 is an apocalyptic number.

20411022423660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411022423660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31399098546816).

20411022423660 is an abundant number, since it is smaller than the sum of its proper divisors (42387174669972).

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

20411022423660 is a wasteful number, since it uses less digits than its factorization.

20411022423660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600932 (or 1600791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 20411022423660 in words is "twenty trillion, four hundred eleven billion, twenty-two million, four hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2780 3058 4170 4587 6116 7645 8340 9174 15290 18348 19321 22935 30580 38642 45870 57963 77284 91740 96605 115926 193210 212531 231852 289815 386420 425062 579630 637593 850124 1062655 1159260 1275186 1600631 2125310 2550372 3187965 3201262 4250620 4801893 6375930 6402524 8003155 9603786 12751860 16006310 17606941 19207572 24009465 32012620 35213882 48018930 52820823 70427764 88034705 96037860 105641646 176069410 211283292 222487709 264104115 352138820 444975418 528208230 667463127 889950836 1056416460 1112438545 1334926254 2224877090 2447364799 2669852508 3337315635 4449754180 4894729598 6674631270 7342094397 9789459196 12236823995 13349262540 14684188794 24473647990 29368377588 30925791551 36710471985 48947295980 61851583102 73420943970 92777374653 123703166204 146841887940 154628957755 185554749306 309257915510 340183707061 371109498612 463886873265 618515831020 680367414122 927773746530 1020551121183 1360734828244 1700918535305 1855547493060 2041102242366 3401837070610 4082204484732 5102755605915 6803674141220 10205511211830 20411022423660