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5145436224 = 2634992561
BaseRepresentation
bin1001100101011000…
…10010000001000000
3111021121001020120000
410302230102001000
541014212424344
62210324320000
7241336325535
oct46254220100
914247036500
105145436224
112200512435
12bb7243000
13640020426
1436b51cd8c
15201ad3a69
hex132b12040

5145436224 has 70 divisors (see below), whose sum is σ = 15252700254. Its totient is φ = 1715143680.

The previous prime is 5145436217. The next prime is 5145436229. The reversal of 5145436224 is 4226345415.

5145436224 is a `hidden beast` number, since 51 + 4 + 543 + 62 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4531982400 + 613453824 = 67320^2 + 24768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5145436229) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 491097 + ... + 501464.

Almost surely, 25145436224 is an apocalyptic number.

5145436224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5145436224 is an abundant number, since it is smaller than the sum of its proper divisors (10107264030).

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

5145436224 is an equidigital number, since it uses as much as digits as its factorization.

5145436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992585 (or 992566 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 5145436224 is about 71731.6960903616. The cubic root of 5145436224 is about 1726.3972407158.

It can be divided in two parts, 51454 and 36224, that added together give a palindrome (87678).

The spelling of 5145436224 in words is "five billion, one hundred forty-five million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 992561 1985122 2977683 3970244 5955366 7940488 8933049 11910732 15880976 17866098 23821464 26799147 31761952 35732196 47642928 53598294 63523904 71464392 80397441 95285856 107196588 142928784 160794882 190571712 214393176 285857568 321589764 428786352 571715136 643179528 857572704 1286359056 1715145408 2572718112 5145436224