Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10800001944 = 23331714512027
BaseRepresentation
bin10100000111011101…
…01111001110011000
31000212200002221111000
422003232233032120
5134104300030234
64543401305000
7531430334064
oct120356571630
930780087430
1010800001944
114642357346
122114a95160
1310316711c4
147464ccaa4
15433235899
hex283baf398

10800001944 has 128 divisors (see below), whose sum is σ = 31802284800. Its totient is φ = 3384230400.

The previous prime is 10800001943. The next prime is 10800001951. The reversal of 10800001944 is 44910000801.

It is a Harshad number since it is a multiple of its sum of digits (27).

10800001944 is a modest number, since divided by 1944 gives 1080 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800001943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5327059 + ... + 5329085.

It is an arithmetic number, because the mean of its divisors is an integer number (248455350).

Almost surely, 210800001944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800001944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901142400).

10800001944 is an abundant number, since it is smaller than the sum of its proper divisors (21002282856).

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

10800001944 is a wasteful number, since it uses less digits than its factorization.

10800001944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10800001944 in words is "ten billion, eight hundred million, one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1451 1836 2027 2902 3672 4054 4353 5804 6081 8108 8706 11608 12162 13059 16216 17412 18243 24324 24667 26118 34459 34824 36486 39177 48648 49334 52236 54729 68918 72972 74001 78354 98668 103377 104472 109458 137836 145944 148002 156708 197336 206754 218916 222003 275672 296004 310131 313416 413508 437832 444006 592008 620262 666009 827016 888012 930393 1240524 1332018 1776024 1860786 2481048 2664036 2941177 3721572 5328072 5882354 7443144 8823531 11764708 17647062 23529416 26470593 35294124 50000009 52941186 70588248 79411779 100000018 105882372 150000027 158823558 200000036 211764744 300000054 317647116 400000072 450000081 600000108 635294232 900000162 1200000216 1350000243 1800000324 2700000486 3600000648 5400000972 10800001944