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5265450144 = 253317335227
BaseRepresentation
bin1001110011101100…
…00110010010100000
3111120221212120201000
410321312012102200
541240423401034
62230252512000
7244324405413
oct47166062240
914527776630
105265450144
112262233699
12102b47b600
1365bb50796
1437d43db7a
1520c3dd599
hex139d864a0

5265450144 has 96 divisors (see below), whose sum is σ = 15446773440. Its totient is φ = 1744955136.

The previous prime is 5265450109. The next prime is 5265450167. The reversal of 5265450144 is 4410545625.

5265450144 is a `hidden beast` number, since 5 + 2 + 65 + 450 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 5265450099 and 5265450108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131859 + ... + 167085.

It is an arithmetic number, because the mean of its divisors is an integer number (160903890).

Almost surely, 25265450144 is an apocalyptic number.

5265450144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5265450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7723386720).

5265450144 is an abundant number, since it is smaller than the sum of its proper divisors (10181323296).

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

5265450144 is a wasteful number, since it uses less digits than its factorization.

5265450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35419 (or 35405 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5265450144 is about 72563.4215290321. The cubic root of 5265450144 is about 1739.7165769044.

Adding to 5265450144 its reverse (4410545625), we get a palindrome (9675995769).

The spelling of 5265450144 in words is "five billion, two hundred sixty-five million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1384 1557 2076 2768 3114 4152 4671 5536 6228 8304 9342 12456 16608 18684 24912 35227 37368 49824 70454 74736 105681 140908 149472 211362 281816 317043 422724 563632 634086 845448 951129 1127264 1268172 1690896 1902258 2536344 3381792 3804516 5072688 6094271 7609032 10145376 12188542 15218064 18282813 24377084 30436128 36565626 48754168 54848439 73131252 97508336 109696878 146262504 164545317 195016672 219393756 292525008 329090634 438787512 585050016 658181268 877575024 1316362536 1755150048 2632725072 5265450144