Search a number
-
+
100539784045888 = 26111132351537569
BaseRepresentation
bin10110110111000010111110…
…000111010010010101000000
3111011222111202102020011200021
4112313002332013102111000
5101134220434203432023
6553455201132103224
730114521400626605
oct2667027607222500
9434874672204607
10100539784045888
112a042757033140
12b33934a304b14
134413b26694275
141ab8219a6a6ac
15b9540ce7d35d
hex5b70be1d2540

100539784045888 has 112 divisors (see below), whose sum is σ = 219665655095040. Its totient is φ = 45276127232000.

The previous prime is 100539784045871. The next prime is 100539784045901. The reversal of 100539784045888 is 888540487935001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186757968 + ... + 187295536.

It is an arithmetic number, because the mean of its divisors is an integer number (1961300491920).

Almost surely, 2100539784045888 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 100539784045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109832827547520).

100539784045888 is an abundant number, since it is smaller than the sum of its proper divisors (119125871049152).

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

100539784045888 is a wasteful number, since it uses less digits than its factorization.

100539784045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540056 (or 540046 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 70.

The spelling of 100539784045888 in words is "one hundred trillion, five hundred thirty-nine billion, seven hundred eighty-four million, forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 352 452 704 904 1243 1808 2351 2486 3616 4702 4972 7232 9404 9944 18808 19888 25861 37616 39776 51722 75232 79552 103444 150464 206888 265663 413776 531326 537569 827552 1062652 1075138 1655104 2125304 2150276 2922293 4250608 4300552 5844586 5913259 8501216 8601104 11689172 11826518 17002432 17202208 23378344 23653036 34404416 46756688 47306072 60745297 93513376 94612144 121490594 187026752 189224288 242981188 378448576 485962376 668198267 971924752 1263824719 1336396534 1943849504 2527649438 2672793068 3887699008 5055298876 5345586136 10110597752 10691172272 13902071909 20221195504 21382344544 27804143818 40442391008 42764689088 55608287636 80884782016 111216575272 142812193247 222433150544 285624386494 444866301088 571248772988 889732602176 1142497545976 1570934125717 2284995091952 3141868251434 4569990183904 6283736502868 9139980367808 12567473005736 25134946011472 50269892022944 100539784045888