Search a number
-
+
152744363000 = 23531929277213
BaseRepresentation
bin1000111001000001000…
…1100000001111111000
3112121021000110121011122
42032100101200033320
510000310024104000
6154100401444412
714015101443365
oct2162021401770
9477230417148
10152744363000
1159862235749
1225729940708
1311532cc95a8
14757005146c
153e8e9c9085
hex23904603f8

152744363000 has 128 divisors (see below), whose sum is σ = 389208456000. Its totient is φ = 55885939200.

The previous prime is 152744362879. The next prime is 152744363017. The reversal of 152744363000 is 363447251.

It is a congruent number.

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, 412394 + ... + 689606.

Almost surely, 2152744363000 is an apocalyptic number.

152744363000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152744363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194604228000).

152744363000 is an abundant number, since it is smaller than the sum of its proper divisors (236464093000).

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

152744363000 is a wasteful number, since it uses less digits than its factorization.

152744363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277282 (or 277268 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 152744363000 in words is "one hundred fifty-two billion, seven hundred forty-four million, three hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 125 145 152 190 200 232 250 290 380 475 500 551 580 725 760 950 1000 1102 1160 1450 1900 2204 2375 2755 2900 3625 3800 4408 4750 5510 5800 7250 9500 11020 13775 14500 19000 22040 27550 29000 55100 68875 110200 137750 275500 277213 551000 554426 1108852 1386065 2217704 2772130 5267047 5544260 6930325 8039177 10534094 11088520 13860650 16078354 21068188 26335235 27721300 32156708 34651625 40195885 42136376 52670470 55442600 64313416 69303250 80391770 105340940 131676175 138606500 152744363 160783540 200979425 210681880 263352350 277213000 305488726 321567080 401958850 526704700 610977452 658380875 763721815 803917700 1004897125 1053409400 1221954904 1316761750 1527443630 1607835400 2009794250 2633523500 3054887260 3818609075 4019588500 5267047000 6109774520 7637218150 8039177000 15274436300 19093045375 30548872600 38186090750 76372181500 152744363000