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5361149960 = 235298951929
BaseRepresentation
bin1001111111000110…
…01010100000001000
3111211121221122011122
410333203022200020
541434423244320
62243552014412
7246566010545
oct47743124010
914747848148
105361149960
112301258351
121057531408
13675919baa
1438c031bcc
152159e3d25
hex13f8ca808

5361149960 has 64 divisors (see below), whose sum is σ = 12618990000. Its totient is φ = 2047209472.

The previous prime is 5361149957. The next prime is 5361150007. The reversal of 5361149960 is 699411635.

It can be written as a sum of positive squares in 8 ways, for example, as 3108508516 + 2252641444 = 55754^2 + 47462^2 .

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, 77276 + ... + 129204.

Almost surely, 25361149960 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 5361149960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309495000).

5361149960 is an abundant number, since it is smaller than the sum of its proper divisors (7257840040).

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

5361149960 is a wasteful number, since it uses less digits than its factorization.

5361149960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52058 (or 52054 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 5361149960 is about 73219.8740780125. The cubic root of 5361149960 is about 1750.1931716014.

The spelling of 5361149960 in words is "five billion, three hundred sixty-one million, one hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 20648 25810 51620 51929 103240 103858 207716 259645 415432 519290 1038580 1505941 2077160 3011882 4621681 6023764 7529705 9243362 12047528 15059410 18486724 23108405 30118820 36973448 46216810 60237640 92433620 134028749 184867240 268057498 536114996 670143745 1072229992 1340287490 2680574980 5361149960