Search a number
-
+
6443697941136 = 2432199210632
BaseRepresentation
bin101110111000100101001…
…0100111010101010010000
3211211000022101111022222100
41131301022110322222100
51321033143133104021
621412105521440400
71233353561533401
oct135611224725220
924730271438870
106443697941136
112064836556795
128809b94a0100
1337983ac03131
14183c3b7259a8
15b2936d24626
hex5dc4a53aa90

6443697941136 has 135 divisors (see below), whose sum is σ = 18141546506499. Its totient is φ = 2135095402176.

The previous prime is 6443697941129. The next prime is 6443697941147. The reversal of 6443697941136 is 6311497963446.

The square root of 6443697941136 is 2538444.

It is a perfect power (a square), and thus also a powerful number.

6443697941136 is a `hidden beast` number, since 6 + 443 + 6 + 9 + 79 + 4 + 113 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6061803741 + ... + 6061804803.

Almost surely, 26443697941136 is an apocalyptic number.

6443697941136 is the 2538444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6443697941136

6443697941136 is an abundant number, since it is smaller than the sum of its proper divisors (11697848565363).

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

6443697941136 is an equidigital number, since it uses as much as digits as its factorization.

6443697941136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 1267 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 6443697941136 in words is "six trillion, four hundred forty-three billion, six hundred ninety-seven million, nine hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1063 1194 1592 1791 2126 2388 3184 3189 3582 4252 4776 6378 7164 8504 9552 9567 12756 14328 17008 19134 25512 28656 38268 39601 51024 76536 79202 118803 153072 158404 211537 237606 316808 356409 423074 475212 633616 634611 712818 846148 950424 1129969 1269222 1425636 1692296 1900848 1903833 2259938 2538444 2851272 3384592 3389907 3807666 4519876 5076888 5702544 6779814 7615332 9039752 10153776 10169721 13559628 15230664 18079504 20339442 27119256 30461328 40678884 42095863 54238512 81357768 84191726 126287589 162715536 168383452 224863831 252575178 336766904 378862767 449727662 505150356 673533808 674591493 757725534 899455324 1010300712 1349182986 1515451068 1798910648 2020601424 2023774479 2698365972 3030902136 3597821296 4047548958 5396731944 6061804272 8095097916 10793463888 16190195832 32380391664 44747902369 89495804738 134243707107 178991609476 268487414214 357983218952 402731121321 536974828428 715966437904 805462242642 1073949656856 1610924485284 2147899313712 3221848970568 6443697941136