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5135115040 = 255114367853
BaseRepresentation
bin1001100100001001…
…11010001100100000
3111020212121212112221
410302010322030200
541004042140130
62205315200424
7241152520606
oct46204721440
914225555487
105135115040
1121a5702a30
12bb38a6114
1363ab48613
14369dd3876
15200c4587a
hex13213a320

5135115040 has 96 divisors (see below), whose sum is σ = 13542572736. Its totient is φ = 1823861760.

The previous prime is 5135115031. The next prime is 5135115053. The reversal of 5135115040 is 405115315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5135114996 and 5135115014.

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, 41754 + ... + 109606.

It is an arithmetic number, because the mean of its divisors is an integer number (141068466).

Almost surely, 25135115040 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 5135115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771286368).

5135115040 is an abundant number, since it is smaller than the sum of its proper divisors (8407457696).

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

5135115040 is a wasteful number, since it uses less digits than its factorization.

5135115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67922 (or 67914 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 5135115040 is about 71659.7169963711. The cubic root of 5135115040 is about 1725.2421465014.

The spelling of 5135115040 in words is "five billion, one hundred thirty-five million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1720 1760 1892 2365 3440 3784 4730 6880 7568 9460 15136 18920 37840 67853 75680 135706 271412 339265 542824 678530 746383 1085648 1357060 1492766 2171296 2714120 2917679 2985532 3731915 5428240 5835358 5971064 7463830 10856480 11670716 11942128 14588395 14927660 23341432 23884256 29176790 29855320 32094469 46682864 58353580 59710640 64188938 93365728 116707160 119421280 128377876 160472345 233414320 256755752 320944690 466828640 513511504 641889380 1027023008 1283778760 2567557520 5135115040