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4623442443264 = 21033740676401
BaseRepresentation
bin100001101000111101010…
…1001001111110000000000
3121100222220122122021001210
41003101322221033300000
51101222302231141024
613455551413130120
7655014133224561
oct103217251176000
917328818567053
104623442443264
1115228777a9817
12628079629940
13276cb1397338
1411dac0b64168
15803eddd2129
hex4347aa4fc00

4623442443264 has 88 divisors (see below), whose sum is σ = 12656218423888. Its totient is φ = 1499494809600.

The previous prime is 4623442443247. The next prime is 4623442443271.

4623442443264 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20224537 + ... + 20451864.

Almost surely, 24623442443264 is an apocalyptic number.

It is an amenable number.

4623442443264 is an abundant number, since it is smaller than the sum of its proper divisors (8032775980624).

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

4623442443264 is a wasteful number, since it uses less digits than its factorization.

4623442443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40676461 (or 40676443 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 4623442443264 in words is "four trillion, six hundred twenty-three billion, four hundred forty-two million, four hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3552 4736 7104 9472 14208 18944 28416 37888 56832 113664 40676401 81352802 122029203 162705604 244058406 325411208 488116812 650822416 976233624 1301644832 1505026837 1952467248 2603289664 3010053674 3904934496 4515080511 5206579328 6020107348 7809868992 9030161022 10413158656 12040214696 15619737984 18060322044 20826317312 24080429392 31239475968 36120644088 41652634624 48160858784 62478951936 72241288176 96321717568 124957903872 144482576352 192643435136 288965152704 385286870272 577930305408 770573740544 1155860610816 1541147481088 2311721221632 4623442443264