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11245345214464 = 21215123472
BaseRepresentation
bin1010001110100100001011…
…0011101001000000000000
31110211001012102221221002101
42203221002303221000000
52433220431333330324
635530012411000144
72240310065121634
oct243510263510000
943731172857071
1011245345214464
113646140231969
12131750b439054
1363757c02327a
142ac3c5aa8dc4
151477b5a0c944
hexa3a42ce9000

11245345214464 has 117 divisors (see below), whose sum is σ = 22703284833411. Its totient is φ = 5569340006400.

The previous prime is 11245345214461. The next prime is 11245345214471. The reversal of 11245345214464 is 46441254354211.

The square root of 11245345214464 is 3353408.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11245345214461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32407334739 + ... + 32407335085.

Almost surely, 211245345214464 is an apocalyptic number.

11245345214464 is the 3353408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11245345214464

11245345214464 is an abundant number, since it is smaller than the sum of its proper divisors (11457939618947).

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

11245345214464 is an frugal number, since it uses more digits than its factorization.

11245345214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 500 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

Adding to 11245345214464 its reverse (46441254354211), we get a palindrome (57686599568675).

The spelling of 11245345214464 in words is "eleven trillion, two hundred forty-five billion, three hundred forty-five million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 347 512 604 694 1024 1208 1388 2048 2416 2776 4096 4832 5552 9664 11104 19328 22208 22801 38656 44416 45602 52397 77312 88832 91204 104794 120409 154624 177664 182408 209588 240818 309248 355328 364816 419176 481636 618496 710656 729632 838352 963272 1421312 1459264 1676704 1926544 2918528 3353408 3853088 5837056 6706816 7706176 7911947 11674112 13413632 15412352 15823894 18181759 23348224 26827264 30824704 31647788 36363518 46696448 53654528 61649408 63295576 72727036 93392896 107309056 123298816 126591152 145454072 214618112 246597632 253182304 290908144 493195264 506364608 581816288 1012729216 1163632576 2025458432 2327265152 2745445609 4050916864 4654530304 5490891218 8101833728 9309060608 10981782436 16203667456 18618121216 21963564872 32407334912 37236242432 43927129744 74472484864 87854259488 175708518976 351417037952 702834075904 1405668151808 2811336303616 5622672607232 11245345214464