Search a number
-
+
26101468254120 = 2335731073176493
BaseRepresentation
bin1011110111101001110001…
…01111100100111110101000
310102102021110012102102210220
411323310320233210332220
511410121301333112440
6131302503214010040
75332524500326620
oct573647057447650
9112367405372726
1026101468254120
118353630402646
122b16780aa6920
1311744863ab98c
146634640a9880
15303e5bdd18d0
hex17bd38be4fa8

26101468254120 has 64 divisors (see below), whose sum is σ = 89490748302720. Its totient is φ = 5966049886464.

The previous prime is 26101468254073. The next prime is 26101468254143. The reversal of 26101468254120 is 2145286410162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15536587407 + ... + 15536589086.

It is an arithmetic number, because the mean of its divisors is an integer number (1398292942230).

Almost surely, 226101468254120 is an apocalyptic number.

26101468254120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26101468254120 is an abundant number, since it is smaller than the sum of its proper divisors (63389280048600).

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

26101468254120 is a wasteful number, since it uses less digits than its factorization.

26101468254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31073176514 (or 31073176510 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 26101468254120 in words is "twenty-six trillion, one hundred one billion, four hundred sixty-eight million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 31073176493 62146352986 93219529479 124292705972 155365882465 186439058958 217512235451 248585411944 310731764930 372878117916 435024470902 466097647395 621463529860 652536706353 745756235832 870048941804 932195294790 1087561177255 1242927059720 1305073412706 1740097883608 1864390589580 2175122354510 2610146825412 3262683531765 3728781179160 4350244709020 5220293650824 6525367063530 8700489418040 13050734127060 26101468254120