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26212980996 = 22332414492243
BaseRepresentation
bin11000011010011010…
…100101100100000100
32111122211100101221000
4120122122211210010
5412141010342441
620013031053300
71615403443056
oct303232454404
974584311830
1026212980996
11101315a9664
1250b6811230
132619924357
1413a94d58d6
15a364242b6
hex61a6a5904

26212980996 has 96 divisors (see below), whose sum is σ = 68424048000. Its totient is φ = 8678154240.

The previous prime is 26212980977. The next prime is 26212981063. The reversal of 26212980996 is 69908921262.

It is a happy number.

26212980996 is a `hidden beast` number, since 2 + 621 + 2 + 9 + 8 + 0 + 9 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11685451 + ... + 11687693.

It is an arithmetic number, because the mean of its divisors is an integer number (712750500).

Almost surely, 226212980996 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 26212980996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212024000).

26212980996 is an abundant number, since it is smaller than the sum of its proper divisors (42211067004).

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

26212980996 is a wasteful number, since it uses less digits than its factorization.

26212980996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 26212980996 in words is "twenty-six billion, two hundred twelve million, nine hundred eighty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 449 482 723 898 964 1347 1446 1796 2169 2243 2694 2892 4041 4338 4486 5388 6507 6729 8082 8676 8972 12123 13014 13458 16164 20187 24246 26028 26916 40374 48492 60561 80748 108209 121122 216418 242244 324627 432836 540563 649254 973881 1007107 1081126 1298508 1621689 1947762 2014214 2162252 2921643 3021321 3243378 3895524 4028428 4865067 5843286 6042642 6486756 9063963 9730134 11686572 12085284 14595201 18127926 19460268 27191889 29190402 36255852 54383778 58380804 108767556 242712787 485425574 728138361 970851148 1456276722 2184415083 2912553444 4368830166 6553245249 8737660332 13106490498 26212980996