Search a number
-
+
2023642463202 = 232372412919889
BaseRepresentation
bin11101011100101010011…
…111010111101111100010
321011110101010022102101100
4131130222133113233202
5231123404432310302
64145352025015230
7266126514061143
oct35345237275742
97143333272340
102023642463202
11710249461378
12288241924516
13118aa0768b79
146dd32819aca
153798d8e6d1c
hex1d72a7d7be2

2023642463202 has 72 divisors (see below), whose sum is σ = 4507580996100. Its totient is φ = 656124530688.

The previous prime is 2023642463189. The next prime is 2023642463233.

2023642463202 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 642 + 4 + 6 + 3 + 2 + 0 + 2 = 666.

2023642463202 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 2021597705241 + 2044757961 = 1421829^2 + 45219^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101736874 + ... + 101756762.

Almost surely, 22023642463202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023642463202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253790498050).

2023642463202 is an abundant number, since it is smaller than the sum of its proper divisors (2483938532898).

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

2023642463202 is a wasteful number, since it uses less digits than its factorization.

2023642463202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 2023642463202 in words is "two trillion, twenty-three billion, six hundred forty-two million, four hundred sixty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 4129 8214 8258 12321 12387 19889 24642 24774 37161 39778 59667 74322 119334 152773 179001 305546 358002 458319 735893 916638 1374957 1471786 2207679 2749914 4415358 5652601 6623037 11305202 13246074 16957803 27228041 33915606 50873409 54456082 81684123 82121681 101746818 163368246 164243362 245052369 246365043 490104738 492730086 739095129 1478190258 3038502197 6077004394 9115506591 18231013182 27346519773 54693039546 112424581289 224849162578 337273743867 674547487734 1011821231601 2023642463202