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5418444640 = 25576177841
BaseRepresentation
bin1010000101111011…
…01110011101100000
3111222121202111200211
411002331232131200
542044110212030
62253400023504
7251163006460
oct50275563540
914877674624
105418444640
112330630724
121072761b94
1368475a67b
143958a7ba0
1521aa6012a
hex142f6e760

5418444640 has 96 divisors (see below), whose sum is σ = 14655380544. Its totient is φ = 1854504960.

The previous prime is 5418444623. The next prime is 5418444641. The reversal of 5418444640 is 464448145.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5418444593 and 5418444602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418444641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687120 + ... + 694960.

It is an arithmetic number, because the mean of its divisors is an integer number (152660214).

Almost surely, 25418444640 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 5418444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327690272).

5418444640 is an abundant number, since it is smaller than the sum of its proper divisors (9236935904).

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

5418444640 is a wasteful number, since it uses less digits than its factorization.

5418444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 5418444640 is about 73610.0851785949. The cubic root of 5418444640 is about 1756.4058712819.

The spelling of 5418444640 in words is "five billion, four hundred eighteen million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 617 1120 1234 2468 3085 4319 4936 6170 7841 8638 9872 12340 15682 17276 19744 21595 24680 31364 34552 39205 43190 49360 54887 62728 69104 78410 86380 98720 109774 125456 138208 156820 172760 219548 250912 274435 313640 345520 439096 548870 627280 691040 878192 1097740 1254560 1756384 2195480 4390960 4837897 8781920 9675794 19351588 24189485 33865279 38703176 48378970 67730558 77406352 96757940 135461116 154812704 169326395 193515880 270922232 338652790 387031760 541844464 677305580 774063520 1083688928 1354611160 2709222320 5418444640