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5145233544 = 23321114894363
BaseRepresentation
bin1001100101010111…
…00000100010001000
3111021120122221112100
410302223200202020
541014134433134
62210320113400
7241334522613
oct46253404210
914246587470
105145233544
112200394130
12bb7165860
1363cc7c0b9
1436b4a917a
15201a93999
hex132ae0888

5145233544 has 96 divisors (see below), whose sum is σ = 15215522400. Its totient is φ = 1557757440.

The previous prime is 5145233543. The next prime is 5145233567. The reversal of 5145233544 is 4453325415.

5145233544 is a `hidden beast` number, since 51 + 45 + 23 + 3 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5145233499 and 5145233508.

It is not an unprimeable number, because it can be changed into a prime (5145233543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177107 + ... + 1181469.

It is an arithmetic number, because the mean of its divisors is an integer number (158495025).

Almost surely, 25145233544 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 5145233544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607761200).

5145233544 is an abundant number, since it is smaller than the sum of its proper divisors (10070288856).

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

5145233544 is a wasteful number, since it uses less digits than its factorization.

5145233544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5868 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 5145233544 is about 71730.2833118621. The cubic root of 5145233544 is about 1726.3745726807.

Adding to 5145233544 its reverse (4453325415), we get a palindrome (9598558959).

The spelling of 5145233544 in words is "five billion, one hundred forty-five million, two hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1489 2978 4363 4467 5956 8726 8934 11912 13089 13401 16379 17452 17868 26178 26802 32758 34904 35736 39267 47993 49137 52356 53604 65516 78534 95986 98274 104712 107208 131032 143979 147411 157068 191972 196548 287958 294822 314136 383944 393096 431937 575916 589644 863874 1151832 1179288 1727748 3455496 6496507 12993014 19489521 25986028 38979042 51972056 58468563 71461577 77958084 116937126 142923154 155916168 214384731 233874252 285846308 428769462 467748504 571692616 643154193 857538924 1286308386 1715077848 2572616772 5145233544