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5014416640 = 2858944017
BaseRepresentation
bin1001010101110000…
…11110110100000000
3110221110111202110211
410222320132310000
540232142313030
62145324203504
7235155560332
oct45270366400
913843452424
105014416640
112143564492
12b7b399594
1361bb3884c
14357d75452
151e535312a
hex12ae1ed00

5014416640 has 72 divisors (see below), whose sum is σ = 12146326920. Its totient is φ = 1983184896.

The previous prime is 5014416637. The next prime is 5014416643. The reversal of 5014416640 is 466144105.

It is an interprime number because it is at equal distance from previous prime (5014416637) and next prime (5014416643).

It can be written as a sum of positive squares in 4 ways, for example, as 474891264 + 4539525376 = 21792^2 + 67376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014416643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91912 + ... + 135928.

It is an arithmetic number, because the mean of its divisors is an integer number (168698985).

Almost surely, 25014416640 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 5014416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073163460).

5014416640 is an abundant number, since it is smaller than the sum of its proper divisors (7131910280).

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

5014416640 is an equidigital number, since it uses as much as digits as its factorization.

5014416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44127 (or 44113 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 5014416640 is about 70812.5457810973. The cubic root of 5014416640 is about 1711.6178434861.

The spelling of 5014416640 in words is "five billion, fourteen million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 640 712 890 1280 1424 1780 2848 3560 5696 7120 11392 14240 22784 28480 44017 56960 88034 113920 176068 220085 352136 440170 704272 880340 1408544 1760680 2817088 3521360 3917513 5634176 7042720 7835026 11268352 14085440 15670052 19587565 28170880 31340104 39175130 56341760 62680208 78350260 125360416 156700520 250720832 313401040 501441664 626802080 1002883328 1253604160 2507208320 5014416640