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10468942800 = 2435237235787
BaseRepresentation
bin10011011111111111…
…10110001111010000
31000000121011101201020
421233333312033100
5132420022132200
64450453435440
7520300355061
oct115777661720
930017141636
1010468942800
114492499748
12204203bb80
13caabba314
14714552568
1541413dea0
hex26fff63d0

10468942800 has 120 divisors (see below), whose sum is σ = 34442024736. Its totient is φ = 2716254720.

The previous prime is 10468942741. The next prime is 10468942843. The reversal of 10468942800 is 824986401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73494 + ... + 162293.

Almost surely, 210468942800 is an apocalyptic number.

10468942800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10468942800 is an abundant number, since it is smaller than the sum of its proper divisors (23973081936).

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

10468942800 is a wasteful number, since it uses less digits than its factorization.

10468942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235845 (or 235834 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10468942800 in words is "ten billion, four hundred sixty-eight million, nine hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 235787 471574 707361 943148 1178935 1414722 1886296 2357870 2829444 3536805 3772592 4715740 5658888 5894675 7073610 8724119 9431480 11317776 11789350 14147220 17448238 17684025 18862960 23578700 26172357 28294440 34896476 35368050 43620595 47157400 52344714 56588880 69792952 70736100 87241190 94314800 104689428 130861785 139585904 141472200 174482380 209378856 218102975 261723570 282944400 348964760 418757712 436205950 523447140 654308925 697929520 872411900 1046894280 1308617850 1744823800 2093788560 2617235700 3489647600 5234471400 10468942800