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5002034640 = 243564732213
BaseRepresentation
bin1001010100010010…
…01111110111010000
3110220121012200120020
410222021033313100
540221010102030
62144202543440
7234645410241
oct45211176720
913817180506
105002034640
112137577729
12b77207b80
136193c1a15
14356470cc8
151e4209510
hex12a24fdd0

5002034640 has 80 divisors (see below), whose sum is σ = 15530755968. Its totient is φ = 1331772928.

The previous prime is 5002034621. The next prime is 5002034651. The reversal of 5002034640 is 464302005.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5002034640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139174 + ... + 171386.

Almost surely, 25002034640 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 5002034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765377984).

5002034640 is an abundant number, since it is smaller than the sum of its proper divisors (10528721328).

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

5002034640 is a wasteful number, since it uses less digits than its factorization.

5002034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32876 (or 32870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5002034640 is about 70725.0637327390. The cubic root of 5002034640 is about 1710.2078609194.

Adding to 5002034640 its reverse (464302005), we get a palindrome (5466336645).

The spelling of 5002034640 in words is "five billion, two million, thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 15528 19410 25880 31056 32213 38820 51760 64426 77640 96639 128852 155280 161065 193278 257704 322130 386556 483195 515408 644260 773112 966390 1288520 1546224 1932780 2577040 3865560 7731120 20841811 41683622 62525433 83367244 104209055 125050866 166734488 208418110 250101732 312627165 333468976 416836220 500203464 625254330 833672440 1000406928 1250508660 1667344880 2501017320 5002034640