Search a number
-
+
85865507800458 = 23238914946920581
BaseRepresentation
bin10011100001100000011111…
…000101110100010110001010
3102021000122212212120221121120
4103201200133011310112022
542223310024444103313
6502342023021020110
724041402220602511
oct2341403705642612
9367018785527546
1085865507800458
11253a53a270a461
1297693889b4636
1338bb10c745349
14172bcac83d678
159dd85b4b0d23
hex4e181f17458a

85865507800458 has 64 divisors (see below), whose sum is σ = 182427222816000. Its totient is φ = 26888119892480.

The previous prime is 85865507800441. The next prime is 85865507800487. The reversal of 85865507800458 is 85400870556858.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85865507800392 and 85865507800401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21630273 + ... + 25290308.

It is an arithmetic number, because the mean of its divisors is an integer number (2850425356500).

Almost surely, 285865507800458 is an apocalyptic number.

85865507800458 is an abundant number, since it is smaller than the sum of its proper divisors (96561715015542).

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

85865507800458 is a wasteful number, since it uses less digits than its factorization.

85865507800458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46920847.

The product of its (nonzero) digits is 430080000, while the sum is 69.

The spelling of 85865507800458 in words is "eighty-five trillion, eight hundred sixty-five billion, five hundred seven million, eight hundred thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 23 46 69 89 138 149 178 267 298 447 534 894 2047 3427 4094 6141 6854 10281 12282 13261 20562 26522 39783 79566 305003 610006 915009 1830018 46920581 93841162 140761743 281523486 1079173363 2158346726 3237520089 4175931709 6475040178 6991166569 8351863418 12527795127 13982333138 20973499707 25055590254 41946999414 96046429307 160796831087 192092858614 288139287921 321593662174 482390493261 576278575842 622213824641 964780986522 1244427649282 1866641473923 3733282947846 14310917966743 28621835933486 42932753900229 85865507800458