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26234010840 = 2335379760913
BaseRepresentation
bin11000011011101010…
…110011110011011000
32111201021220211110010
4120123222303303120
5412211401321330
620015101521520
71616050261422
oct303352636330
974637824403
1026234010840
11101424626a4
1251018732a0
1326210a844b
1413ac20b812
15a381ca3b0
hex61bab3cd8

26234010840 has 128 divisors (see below), whose sum is σ = 81663744960. Its totient is φ = 6736379904.

The previous prime is 26234010839. The next prime is 26234010857. The reversal of 26234010840 is 4801043262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26234010798 and 26234010807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400224 + ... + 461136.

Almost surely, 226234010840 is an apocalyptic number.

26234010840 is a gapful number since it is divisible by the number (20) 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 26234010840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40831872480).

26234010840 is an abundant number, since it is smaller than the sum of its proper divisors (55429734120).

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

26234010840 is a wasteful number, since it uses less digits than its factorization.

26234010840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061 (or 61057 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 26234010840 in words is "twenty-six billion, two hundred thirty-four million, ten thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 97 111 120 148 185 194 222 291 296 370 388 444 485 555 582 740 776 888 970 1110 1164 1455 1480 1940 2220 2328 2910 3589 3880 4440 5820 7178 10767 11640 14356 17945 21534 28712 35890 43068 53835 60913 71780 86136 107670 121826 143560 182739 215340 243652 304565 365478 430680 487304 609130 730956 913695 1218260 1461912 1827390 2253781 2436520 3654780 4507562 5908561 6761343 7309560 9015124 11268905 11817122 13522686 17725683 18030248 22537810 23634244 27045372 29542805 33806715 35451366 45075620 47268488 54090744 59085610 67613430 70902732 88628415 90151240 118171220 135226860 141805464 177256830 218616757 236342440 270453720 354513660 437233514 655850271 709027320 874467028 1093083785 1311700542 1748934056 2186167570 2623401084 3279251355 4372335140 5246802168 6558502710 8744670280 13117005420 26234010840