Search a number
-
+
100790152800 = 2535241995897
BaseRepresentation
bin101110111011110001…
…1111010111001100000
3100122011020110021010020
41131313203322321200
53122404234342200
6114145150433440
710165450106661
oct1356743727140
9318136407106
10100790152800
1139821460647
121764a502880
13967342548c
144c41d85368
15294d7b8ea0
hex17778fae60

100790152800 has 72 divisors (see below), whose sum is σ = 328071955176. Its totient is φ = 26877373440.

The previous prime is 100790152787. The next prime is 100790152861. The reversal of 100790152800 is 8251097001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20995549 + ... + 21000348.

It is an arithmetic number, because the mean of its divisors is an integer number (4556554933).

Almost surely, 2100790152800 is an apocalyptic number.

100790152800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100790152800 is an abundant number, since it is smaller than the sum of its proper divisors (227281802376).

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

100790152800 is a wasteful number, since it uses less digits than its factorization.

100790152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41995920 (or 41995907 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 100790152800 in words is "one hundred billion, seven hundred ninety million, one hundred fifty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 41995897 83991794 125987691 167983588 209979485 251975382 335967176 419958970 503950764 629938455 671934352 839917940 1007901528 1049897425 1259876910 1343868704 1679835880 2015803056 2099794850 2519753820 3149692275 3359671760 4031606112 4199589700 5039507640 6299384550 6719343520 8399179400 10079015280 12598769100 16798358800 20158030560 25197538200 33596717600 50395076400 100790152800