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26642424096 = 253419315323
BaseRepresentation
bin11000110100000000…
…110010000100100000
32112202202102101010000
4120310000302010200
5414030430032341
620123411340000
71632136603551
oct306400620440
975682371100
1026642424096
1110331a54612
1251b65b1600
1326878a42b2
14140a562328
15a5dea18b6
hex634032120

26642424096 has 120 divisors (see below), whose sum is σ = 78409934064. Its totient is φ = 8874541440.

The previous prime is 26642424059. The next prime is 26642424119. The reversal of 26642424096 is 69042424662.

It is a super-2 number, since 2×266424240962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5002491 + ... + 5007813.

Almost surely, 226642424096 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 26642424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204967032).

26642424096 is an abundant number, since it is smaller than the sum of its proper divisors (51767509968).

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

26642424096 is a wasteful number, since it uses less digits than its factorization.

26642424096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26642424096 in words is "twenty-six billion, six hundred forty-two million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1931 2592 3862 5323 5793 7724 10646 11586 15448 15969 17379 21292 23172 30896 31938 34758 42584 46344 47907 52137 61792 63876 69516 85168 92688 95814 104274 127752 139032 143721 156411 170336 185376 191628 208548 255504 278064 287442 312822 383256 417096 431163 511008 556128 574884 625644 766512 834192 862326 1149768 1251288 1533024 1668384 1724652 2299536 2502576 3449304 4599072 5005152 6898608 10278713 13797216 20557426 30836139 41114852 61672278 82229704 92508417 123344556 164459408 185016834 246689112 277525251 328918816 370033668 493378224 555050502 740067336 832575753 986756448 1110101004 1480134672 1665151506 2220202008 2960269344 3330303012 4440404016 6660606024 8880808032 13321212048 26642424096