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13323898113864 = 23313477731175437
BaseRepresentation
bin1100000111100011011000…
…1101101100111101001000
31202011202022100221112012220
43001320312031230331020
53221244320404120424
644200525253134040
72543422421215302
oct301706615547510
952152270845186
1013323898113864
1142776a714a718
1215b231662a320
1375859095c1b0
14340c47040972
151818b9e0d579
hexc1e3636cf48

13323898113864 has 128 divisors (see below), whose sum is σ = 36682692963840. Its totient is φ = 4007239990272.

The previous prime is 13323898113719. The next prime is 13323898113871. The reversal of 13323898113864 is 46831189832331.

It is a happy number.

13323898113864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13323898113798 and 13323898113807.

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, 10747554 + ... + 11922990.

It is an arithmetic number, because the mean of its divisors is an integer number (286583538780).

Almost surely, 213323898113864 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 13323898113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341346481920).

13323898113864 is an abundant number, since it is smaller than the sum of its proper divisors (23358794849976).

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

13323898113864 is a wasteful number, since it uses less digits than its factorization.

13323898113864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176279 (or 1176275 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The spelling of 13323898113864 in words is "thirteen trillion, three hundred twenty-three billion, eight hundred ninety-eight million, one hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 773 1128 1222 1546 1833 2319 2444 3092 3666 4638 4888 6184 7332 9276 10049 14664 18552 20098 30147 36331 40196 60294 72662 80392 108993 120588 145324 217986 241176 290648 435972 472303 871944 944606 1175437 1416909 1889212 2350874 2833818 3526311 3778424 4701748 5667636 7052622 9403496 11335272 14105244 15280681 28210488 30561362 45842043 55245539 61122724 91684086 110491078 122245448 165736617 183368172 220982156 331473234 366736344 441964312 662946468 718192007 908612801 1325892936 1436384014 1817225602 2154576021 2725838403 2872768028 3634451204 4309152042 5451676806 5745536056 7268902408 8618304084 10903353612 11811966413 17236608168 21806707224 23623932826 35435899239 42704801647 47247865652 70871798478 85409603294 94495731304 128114404941 141743596956 170819206588 256228809882 283487193912 341638413176 512457619764 555162421411 1024915239528 1110324842822 1665487264233 2220649685644 3330974528466 4441299371288 6661949056932 13323898113864