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5009718144 = 27319686639
BaseRepresentation
bin1001010101001101…
…00011101110000000
3110221010200001100110
410222212203232000
540224441440034
62145035351320
7235100621154
oct45246435600
913833601313
105009718144
112140945432
12b798b2540
1361ab82082
143574b1064
151e4c25de9
hex12a9a3b80

5009718144 has 64 divisors (see below), whose sum is σ = 14007456000. Its totient is φ = 1582013952.

The previous prime is 5009718107. The next prime is 5009718167. The reversal of 5009718144 is 4418179005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336024 + ... + 350615.

It is an arithmetic number, because the mean of its divisors is an integer number (218866500).

Almost surely, 25009718144 is an apocalyptic number.

It is an amenable number.

5009718144 is an abundant number, since it is smaller than the sum of its proper divisors (8997737856).

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

5009718144 is a wasteful number, since it uses less digits than its factorization.

5009718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686675 (or 686663 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5009718144 is about 70779.3624158907. The cubic root of 5009718144 is about 1711.0830825316.

The spelling of 5009718144 in words is "five billion, nine million, seven hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 686639 1373278 2059917 2746556 4119834 5493112 8239668 10986224 13046141 16479336 21972448 26092282 32958672 39138423 43944896 52184564 65917344 78276846 87889792 104369128 131834688 156553692 208738256 263669376 313107384 417476512 626214768 834953024 1252429536 1669906048 2504859072 5009718144