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5010469440 = 263511874397
BaseRepresentation
bin1001010101010010…
…11011001001000000
3110221012002012221020
410222221123021000
540230140010230
62145103425440
7235110200424
oct45251331100
913835065836
105010469440
112141308939
12b79bb5280
1361b086022
14357628b84
151e4d23810
hex12aa5b240

5010469440 has 112 divisors (see below), whose sum is σ = 15925263552. Its totient is φ = 1334695936.

The previous prime is 5010469439. The next prime is 5010469447. The reversal of 5010469440 is 449640105.

It is not an unprimeable number, because it can be changed into a prime (5010469447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137322 + ... + 1141718.

Almost surely, 25010469440 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 5010469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962631776).

5010469440 is an abundant number, since it is smaller than the sum of its proper divisors (10914794112).

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

5010469440 is a wasteful number, since it uses less digits than its factorization.

5010469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5010469440 is about 70784.6695266708. The cubic root of 5010469440 is about 1711.1686139980.

The spelling of 5010469440 in words is "five billion, ten million, four hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1187 2374 3561 4397 4748 5935 7122 8794 9496 11870 13191 14244 17588 17805 18992 21985 23740 26382 28488 35176 35610 37984 43970 47480 52764 56976 65955 70352 71220 75968 87940 94960 105528 113952 131910 140704 142440 175880 189920 211056 227904 263820 281408 284880 351760 379840 422112 527640 569760 703520 844224 1055280 1139520 1407040 2110560 4221120 5219239 10438478 15657717 20876956 26096195 31315434 41753912 52192390 62630868 78288585 83507824 104384780 125261736 156577170 167015648 208769560 250523472 313154340 334031296 417539120 501046944 626308680 835078240 1002093888 1252617360 1670156480 2505234720 5010469440