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5186545152 = 29337263347
BaseRepresentation
bin1001101010010010…
…00110011000000000
3111101110101210101220
410311021012120000
541110223421102
62214353355040
7242345622615
oct46511063000
914343353356
105186545152
112221740158
121008b68a80
136486b4939
14372b8050c
152055041bc
hex135246600

5186545152 has 160 divisors (see below), whose sum is σ = 14285728512. Its totient is φ = 1670897664.

The previous prime is 5186545151. The next prime is 5186545157. The reversal of 5186545152 is 2515456815.

It is a super-2 number, since 2×51865451522 = 53800501227469406208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5186545151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14946643 + ... + 14946989.

Almost surely, 25186545152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5186545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142864256).

5186545152 is an abundant number, since it is smaller than the sum of its proper divisors (9099183360).

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

5186545152 is a wasteful number, since it uses less digits than its factorization.

5186545152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its digits is 240000, while the sum is 42.

The square root of 5186545152 is about 72017.6724977974. The cubic root of 5186545152 is about 1730.9826744776.

The spelling of 5186545152 in words is "five billion, one hundred eighty-six million, five hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 263 296 347 384 444 512 526 592 694 768 789 888 1041 1052 1184 1388 1536 1578 1776 2082 2104 2368 2776 3156 3552 4164 4208 4736 5552 6312 7104 8328 8416 9472 9731 11104 12624 12839 14208 16656 16832 18944 19462 22208 25248 25678 28416 29193 33312 33664 38517 38924 44416 50496 51356 56832 58386 66624 67328 77034 77848 88832 91261 100992 102712 116772 133248 134656 154068 155696 177664 182522 201984 205424 233544 266496 273783 308136 311392 365044 403968 410848 467088 532992 547566 616272 622784 730088 821696 934176 1095132 1232544 1245568 1460176 1643392 1868352 2190264 2465088 2491136 2920352 3286784 3376657 3736704 4380528 4930176 4982272 5840704 6573568 6753314 7473408 8761056 9860352 10129971 11681408 13506628 14946816 17522112 19720704 20259942 23362816 27013256 35044224 40519884 46725632 54026512 70088448 81039768 108053024 140176896 162079536 216106048 324159072 432212096 648318144 864424192 1296636288 1728848384 2593272576 5186545152