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13220554968 = 23371744449
BaseRepresentation
bin11000101000000000…
…11010100011011000
31021010100210210000000
430110000122203120
5204033430224333
610023510213000
7645421602015
oct142400324330
937110723000
1013220554968
115674727695
12268b654160
131328ca4bba
148d5b7c70c
155259bb713
hex31401a8d8

13220554968 has 128 divisors (see below), whose sum is σ = 39364920000. Its totient is φ = 4147531776.

The previous prime is 13220554961. The next prime is 13220554969. The reversal of 13220554968 is 86945502231.

13220554968 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 554 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220554961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275208 + ... + 319656.

Almost surely, 213220554968 is an apocalyptic number.

13220554968 is a gapful number since it is divisible by the number (18) 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 13220554968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682460000).

13220554968 is an abundant number, since it is smaller than the sum of its proper divisors (26144365032).

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

13220554968 is an equidigital number, since it uses as much as digits as its factorization.

13220554968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44493 (or 44471 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13220554968 in words is "thirteen billion, two hundred twenty million, five hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2187 2754 2916 3672 4131 4374 5508 5832 8262 8748 11016 12393 16524 17496 24786 33048 37179 44449 49572 74358 88898 99144 133347 148716 177796 266694 297432 355592 400041 533388 755633 800082 1066776 1200123 1511266 1600164 2266899 2400246 3022532 3200328 3600369 4533798 4800492 6045064 6800697 7200738 9067596 9600984 10801107 13601394 14401476 18135192 20402091 21602214 27202788 28802952 32403321 40804182 43204428 54405576 61206273 64806642 81608364 86408856 97209963 122412546 129613284 163216728 183618819 194419926 244825092 259226568 367237638 388839852 489650184 550856457 734475276 777679704 1101712914 1468950552 1652569371 2203425828 3305138742 4406851656 6610277484 13220554968