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26113423464 = 2335105112781
BaseRepresentation
bin11000010100011110…
…110011100001101000
32111101220000100200000
4120110132303201220
5411440014022324
615555113143000
71613054302632
oct302436634150
974356010600
1026113423464
111009038a607
1250893baa60
13260210707b
14139a1bba52
15a2c80a9c9
hex6147b3868

26113423464 has 96 divisors (see below), whose sum is σ = 73418785440. Its totient is φ = 8695512000.

The previous prime is 26113423421. The next prime is 26113423513. The reversal of 26113423464 is 46432431162.

26113423464 is a `hidden beast` number, since 2 + 61 + 134 + 2 + 3 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2036754 + ... + 2049534.

It is an arithmetic number, because the mean of its divisors is an integer number (764779015).

Almost surely, 226113423464 is an apocalyptic number.

26113423464 is a gapful number since it is divisible by the number (24) 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 26113423464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36709392720).

26113423464 is an abundant number, since it is smaller than the sum of its proper divisors (47305361976).

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

26113423464 is a wasteful number, since it uses less digits than its factorization.

26113423464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13853 (or 13837 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 26113423464 in words is "twenty-six billion, one hundred thirteen million, four hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1051 1944 2102 3153 4204 6306 8408 9459 12612 12781 18918 25224 25562 28377 37836 38343 51124 56754 75672 76686 85131 102248 113508 115029 153372 170262 227016 230058 255393 306744 340524 345087 460116 510786 681048 690174 920232 1021572 1035261 1380348 2043144 2070522 2760696 3105783 4141044 6211566 8282088 12423132 13432831 24846264 26865662 40298493 53731324 80596986 107462648 120895479 161193972 241790958 322387944 362686437 483581916 725372874 967163832 1088059311 1450745748 2176118622 2901491496 3264177933 4352237244 6528355866 8704474488 13056711732 26113423464