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5153105144 = 2311173793097
BaseRepresentation
bin1001100110010011…
…00010010011111000
3111022010110212100002
410303021202103320
541023143331034
62211200532132
7241461446105
oct46311422370
914263425302
105153105144
112204880190
12bb9921048
136417a6c55
1436c557aac
152025eae7e
hex1332624f8

5153105144 has 64 divisors (see below), whose sum is σ = 11462225760. Its totient is φ = 2144931840.

The previous prime is 5153105129. The next prime is 5153105171. The reversal of 5153105144 is 4415013515.

It is a congruent number.

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, 8804 + ... + 101900.

Almost surely, 25153105144 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 5153105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731112880).

5153105144 is an abundant number, since it is smaller than the sum of its proper divisors (6309120616).

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

5153105144 is a wasteful number, since it uses less digits than its factorization.

5153105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93168 (or 93164 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 5153105144 is about 71785.1317753196. The cubic root of 5153105144 is about 1727.2545072085.

Adding to 5153105144 its reverse (4415013515), we get a palindrome (9568118659).

The spelling of 5153105144 in words is "five billion, one hundred fifty-three million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 37 44 68 74 88 136 148 187 296 374 407 629 748 814 1258 1496 1628 2516 3256 5032 6919 13838 27676 55352 93097 186194 372388 744776 1024067 1582649 2048134 3165298 3444589 4096268 6330596 6889178 8192536 12661192 13778356 17409139 27556712 34818278 37890479 58558013 69636556 75780958 117116026 139273112 151561916 234232052 303123832 468464104 644138143 1288276286 2576552572 5153105144