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5361297040 = 2451123714969
BaseRepresentation
bin1001111111000111…
…01110011010010000
3111211122020002221001
410333203232122100
541434443001130
62243555111344
7246600162421
oct47743563220
914748202831
105361297040
112301348900
1210575a2554
1367596bb18
1438c06d648
15215a226ca
hex13f8ee690

5361297040 has 120 divisors (see below), whose sum is σ = 14072458680. Its totient is φ = 1896744960.

The previous prime is 5361297023. The next prime is 5361297041. The reversal of 5361297040 is 407921635.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 5200717456 = 12672^2 + 72116^2 .

It is a super-2 number, since 2×53612970402 = 57487011902225523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (5361297041) 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, 350676 + ... + 365644.

It is an arithmetic number, because the mean of its divisors is an integer number (117270489).

Almost surely, 25361297040 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 5361297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036229340).

5361297040 is an abundant number, since it is smaller than the sum of its proper divisors (8711161640).

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

5361297040 is a wasteful number, since it uses less digits than its factorization.

5361297040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15024 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 5361297040 is about 73220.8784432419. The cubic root of 5361297040 is about 1750.2091766289.

It can be divided in two parts, 536129 and 7040, that added together give a square (543169 = 7372).

The spelling of 5361297040 in words is "five billion, three hundred sixty-one million, two hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 121 148 176 185 220 242 296 370 407 440 484 592 605 740 814 880 968 1210 1480 1628 1936 2035 2420 2960 3256 4070 4477 4840 6512 8140 8954 9680 14969 16280 17908 22385 29938 32560 35816 44770 59876 71632 74845 89540 119752 149690 164659 179080 239504 299380 329318 358160 553853 598760 658636 823295 1107706 1197520 1317272 1646590 1811249 2215412 2634544 2769265 3293180 3622498 4430824 5538530 6092383 6586360 7244996 8861648 9056245 11077060 12184766 13172720 14489992 18112490 22154120 24369532 28979984 30461915 36224980 44308240 48739064 60923830 67016213 72449960 97478128 121847660 134032426 144899920 243695320 268064852 335081065 487390640 536129704 670162130 1072259408 1340324260 2680648520 5361297040