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5374282144 = 257118532557
BaseRepresentation
bin1010000000101010…
…10000100110100000
3111212112122211010211
411000111100212200
542001304012034
62245141303504
7250115434030
oct50025204640
914775584124
105374282144
1123087077a0
12105ba04b94
1367856730a
1438da8d8c0
15216c39d64
hex1405509a0

5374282144 has 96 divisors (see below), whose sum is σ = 13212049536. Its totient is φ = 2090603520.

The previous prime is 5374282141. The next prime is 5374282159. The reversal of 5374282144 is 4412824735.

It is a junction number, because it is equal to n+sod(n) for n = 5374282097 and 5374282106.

It is not an unprimeable number, because it can be changed into a prime (5374282141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100514 + ... + 2103070.

It is an arithmetic number, because the mean of its divisors is an integer number (137625516).

Almost surely, 25374282144 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 5374282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606024768).

5374282144 is an abundant number, since it is smaller than the sum of its proper divisors (7837767392).

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

5374282144 is a wasteful number, since it uses less digits than its factorization.

5374282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 5374282144 is about 73309.4955923174. The cubic root of 5374282144 is about 1751.6210442310.

The spelling of 5374282144 in words is "five billion, three hundred seventy-four million, two hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 853 1232 1706 2464 2557 3412 5114 5971 6824 9383 10228 11942 13648 17899 18766 20456 23884 27296 28127 35798 37532 40912 47768 56254 65681 71596 75064 81824 95536 112508 131362 143192 150128 191072 196889 225016 262724 286384 300256 393778 450032 525448 572768 787556 900064 1050896 1575112 2101792 2181121 3150224 4362242 6300448 8724484 15267847 17448968 23992331 30535694 34897936 47984662 61071388 69795872 95969324 122142776 167946317 191938648 244285552 335892634 383877296 488571104 671785268 767754592 1343570536 2687141072 5374282144