Search a number
-
+
2129012328258 = 23534765319333
BaseRepresentation
bin11110111110110011000…
…001100000011101000010
321112112100112022011200000
4132332303001200131002
5234340204124001013
64310015454540430
7306546624125664
oct36766301403502
97475315264600
102129012328258
117509aaa57582
122a4749b07716
131259c392724a
147508aada534
153a5a9297973
hex1efb3060742

2129012328258 has 96 divisors (see below), whose sum is σ = 4805087990976. Its totient is φ = 706505416128.

The previous prime is 2129012328241. The next prime is 2129012328259. The reversal of 2129012328258 is 8528232109212.

2129012328258 is a `hidden beast` number, since 2 + 1 + 290 + 1 + 232 + 82 + 58 = 666.

It is not an unprimeable number, because it can be changed into a prime (2129012328259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110113560 + ... + 110132892.

It is an arithmetic number, because the mean of its divisors is an integer number (50052999906).

Almost surely, 22129012328258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129012328258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402543995488).

2129012328258 is an abundant number, since it is smaller than the sum of its proper divisors (2676075662718).

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

2129012328258 is a wasteful number, since it uses less digits than its factorization.

2129012328258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2129012328258 in words is "two trillion, one hundred twenty-nine billion, twelve million, three hundred twenty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 347 486 653 694 1041 1306 1959 2082 3123 3918 5877 6246 9369 11754 17631 18738 19333 28107 35262 38666 52893 56214 57999 84321 105786 115998 158679 168642 173997 226591 317358 347994 453182 521991 679773 1043982 1359546 1565973 2039319 3131946 4078638 4697919 6117957 6708551 9395838 12235914 12624449 13417102 18353871 20125653 25248898 36707742 37873347 40251306 55061613 60376959 75746694 110123226 113620041 120753918 181130877 227240082 340860123 362261754 543392631 681720246 1022580369 1086785262 1630177893 2045160738 3067741107 3260355786 4380683803 6135482214 8761367606 13142051409 26284102818 39426154227 78852308454 118278462681 236556925362 354835388043 709670776086 1064506164129 2129012328258