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26213397552 = 243541916091
BaseRepresentation
bin11000011010011100…
…001011010000110000
32111122212010120100000
4120122130023100300
5412141112210202
620013044030000
71615410126366
oct303234132060
974585116300
1026213397552
1110131863621
1250b6992300
132619a3bb34
1413a95a3636
15a364a791c
hex61a70b430

26213397552 has 120 divisors (see below), whose sum is σ = 76264493760. Its totient is φ = 8716403520.

The previous prime is 26213397547. The next prime is 26213397589. The reversal of 26213397552 is 25579331262.

26213397552 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 3 + 3 + 97 + 552 = 666.

It is a super-2 number, since 2×262133975522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26213397498 and 26213397507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621027 + ... + 1637117.

It is an arithmetic number, because the mean of its divisors is an integer number (635537448).

Almost surely, 226213397552 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 26213397552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132246880).

26213397552 is an abundant number, since it is smaller than the sum of its proper divisors (50051096208).

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

26213397552 is a wasteful number, since it uses less digits than its factorization.

26213397552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16515 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 26213397552 in words is "twenty-six billion, two hundred thirteen million, three hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 419 432 486 648 838 972 1257 1296 1676 1944 2514 3352 3771 3888 5028 6704 7542 10056 11313 15084 16091 20112 22626 30168 32182 33939 45252 48273 60336 64364 67878 90504 96546 101817 128728 135756 144819 181008 193092 203634 257456 271512 289638 386184 407268 434457 543024 579276 772368 814536 868914 1158552 1303371 1629072 1737828 2317104 2606742 3475656 3910113 5213484 6742129 6951312 7820226 10426968 13484258 15640452 20226387 20853936 26968516 31280904 40452774 53937032 60679161 62561808 80905548 107874064 121358322 161811096 182037483 242716644 323622192 364074966 485433288 546112449 728149932 970866576 1092224898 1456299864 1638337347 2184449796 2912599728 3276674694 4368899592 6553349388 8737799184 13106698776 26213397552