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5095245440 = 275174310891
BaseRepresentation
bin1001011111011001…
…10100011010000000
3111011002121021202002
410233230310122000
540413340323230
62201332443132
7240156604655
oct45754643200
914132537662
105095245440
11218515134a
12ba24794a8
136327c923c
143649b5c2c
151ec4bc545
hex12fb34680

5095245440 has 128 divisors (see below), whose sum is σ = 13198489920. Its totient is φ = 1873428480.

The previous prime is 5095245433. The next prime is 5095245443. The reversal of 5095245440 is 445425905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5095245394 and 5095245403.

It is not an unprimeable number, because it can be changed into a prime (5095245443) 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, 462395 + ... + 473285.

Almost surely, 25095245440 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 5095245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599244960).

5095245440 is an abundant number, since it is smaller than the sum of its proper divisors (8103244480).

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

5095245440 is a wasteful number, since it uses less digits than its factorization.

5095245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 5095245440 is about 71380.9879449703. The cubic root of 5095245440 is about 1720.7655506852.

The spelling of 5095245440 in words is "five billion, ninety-five million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 128 136 160 170 172 215 272 320 340 344 430 544 640 680 688 731 860 1088 1360 1376 1462 1720 2176 2720 2752 2924 3440 3655 5440 5504 5848 6880 7310 10880 10891 11696 13760 14620 21782 23392 27520 29240 43564 46784 54455 58480 87128 93568 108910 116960 174256 185147 217820 233920 348512 370294 435640 467840 468313 697024 740588 871280 925735 936626 1394048 1481176 1742560 1851470 1873252 2341565 2962352 3485120 3702940 3746504 4683130 5924704 6970240 7405880 7493008 7961321 9366260 11849408 14811760 14986016 15922642 18732520 23698816 29623520 29972032 31845284 37465040 39806605 59247040 59944064 63690568 74930080 79613210 118494080 127381136 149860160 159226420 254762272 299720320 318452840 509524544 636905680 1019049088 1273811360 2547622720 5095245440