Search a number
-
+
2013416264430 = 2325709238313241
BaseRepresentation
bin11101010011001000111…
…101100001001011101110
321010110222102220200212200
4131103020331201023232
5230441434030430210
64140541202042330
7265315221604434
oct35231075411356
97113872820780
102013416264430
11706980a9a92a
122862690493a6
13117b30c5068c
146d642614d54
1537590c570c0
hex1d4c8f612ee

2013416264430 has 96 divisors (see below), whose sum is σ = 5244861697920. Its totient is φ = 535888258560.

The previous prime is 2013416264417. The next prime is 2013416264437. The reversal of 2013416264430 is 344626143102.

2013416264430 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 4 + 1 + 6 + 2 + 644 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013416264437) 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, 152052610 + ... + 152065850.

It is an arithmetic number, because the mean of its divisors is an integer number (54633976020).

Almost surely, 22013416264430 is an apocalyptic number.

2013416264430 is an abundant number, since it is smaller than the sum of its proper divisors (3231445433490).

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

2013416264430 is a wasteful number, since it uses less digits than its factorization.

2013416264430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16346 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2013416264430 in words is "two trillion, thirteen billion, four hundred sixteen million, two hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 709 1418 2127 2383 3545 4254 4766 6381 7090 7149 10635 11915 12762 13241 14298 21270 21447 23830 26482 31905 35745 39723 42894 63810 66205 71490 79446 107235 119169 132410 198615 214470 238338 397230 595845 1191690 1689547 3379094 5068641 8447735 9387869 10137282 15205923 16895470 18775738 25343205 28163607 30411846 31553303 46939345 50686410 56327214 63106606 76029615 84490821 93878690 94659909 140818035 152059230 157766515 168981642 189319818 281636070 283979727 315533030 422454105 473299545 567959454 844908210 946599090 1419898635 2839797270 22371291827 44742583654 67113875481 111856459135 134227750962 201341626443 223712918270 335569377405 402683252886 671138754810 1006708132215 2013416264430