Search a number
-
+
2573959256466 = 23131973191312437
BaseRepresentation
bin100101011101001011111…
…011010101100110010010
3100010001211122110001220120
4211131023323111212102
5314132432032201331
65250243251451110
7353651052455013
oct45351373254622
910101748401816
102573959256466
11902678996334
12356a258b6a96
131589531840a0
148c81a47500a
1546e4bae9796
hex2574bed5992

2573959256466 has 128 divisors (see below), whose sum is σ = 5919206388480. Its totient is φ = 739579465728.

The previous prime is 2573959256339. The next prime is 2573959256471. The reversal of 2573959256466 is 6646529593752.

It is a self number, because there is not a number n which added to its sum of digits gives 2573959256466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206953600 + ... + 206966036.

It is an arithmetic number, because the mean of its divisors is an integer number (46243799910).

Almost surely, 22573959256466 is an apocalyptic number.

2573959256466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573959256466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959603194240).

2573959256466 is an abundant number, since it is smaller than the sum of its proper divisors (3345247132014).

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

2573959256466 is a wasteful number, since it uses less digits than its factorization.

2573959256466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460.

The product of its digits is 734832000, while the sum is 69.

The spelling of 2573959256466 in words is "two trillion, five hundred seventy-three billion, nine hundred fifty-nine million, two hundred fifty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 438 494 741 949 1387 1482 1898 1913 2774 2847 3826 4161 5694 5739 8322 11478 12437 18031 24869 24874 36062 36347 37311 49738 54093 72694 74607 74622 108186 109041 139649 149214 161681 218082 236303 279298 323362 418947 472511 472606 485043 708909 837894 907901 945022 970086 1417533 1417818 1815437 1815802 2653331 2723703 2835066 3071939 3630874 5306662 5446311 5447406 6143878 7959993 9215817 10892622 11802713 15919986 17250119 18431634 23605426 23791981 34493303 34500238 35408139 47583962 51750357 68986606 70816278 71375943 103479909 103500714 142751886 206959818 224251547 309295753 448503094 452047639 618591506 672754641 904095278 927887259 1345509282 1356142917 1736814613 1855774518 2712285834 3473629226 5210443839 5876619307 10420887678 11753238614 17629857921 22578589969 32999477647 35259715842 45157179938 65998955294 67735769907 98998432941 135471539814 197996865882 428993209411 857986418822 1286979628233 2573959256466