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26074142324104 = 2371921797205461
BaseRepresentation
bin1011110110110110110111…
…11111011011010110001000
310102022122220210212100211211
411323123123333123112020
511404144320413332404
6131242143504302504
75330536360626310
oct573333377332610
9112278823770754
1026074142324104
118342a88654a06
122b11415611a34
131171a20021a14
14661dd0c64440
153033ace19b04
hex17b6dbfdb588

26074142324104 has 96 divisors (see below), whose sum is σ = 59298070075200. Its totient is φ = 10527349991040.

The previous prime is 26074142324099. The next prime is 26074142324149. The reversal of 26074142324104 is 40142324147062.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15934 + ... + 7221394.

It is an arithmetic number, because the mean of its divisors is an integer number (617688229950).

Almost surely, 226074142324104 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 26074142324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29649035037600).

26074142324104 is an abundant number, since it is smaller than the sum of its proper divisors (33223927751096).

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

26074142324104 is a wasteful number, since it uses less digits than its factorization.

26074142324104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205691 (or 7205668 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 26074142324104 in words is "twenty-six trillion, seventy-four billion, one hundred forty-two million, three hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 179 266 358 361 532 716 722 1064 1253 1432 1444 2506 2527 2888 3401 5012 5054 6802 10024 10108 13604 20216 23807 27208 47614 64619 95228 129238 190456 258476 452333 516952 904666 1809332 3618664 7205461 14410922 28821844 50438227 57643688 100876454 136903759 201752908 273807518 403505816 547615036 958326313 1095230072 1289777519 1916652626 2579555038 2601171421 3833305252 5159110076 5202342842 7666610504 9028442633 10318220152 10404685684 18056885266 18208199947 20809371368 24505772861 36113770532 36416399894 49011545722 72227541064 72832799788 98023091444 145665599576 171540410027 196046182888 343080820054 465609684359 686161640108 931219368718 1372323280216 1862438737436 3259267790513 3724877474872 6518535581026 13037071162052 26074142324104