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5157129640 = 2351321276007
BaseRepresentation
bin1001100110110001…
…11000110110101000
3111022102001022220111
410303120320312220
541030211122030
62211423104104
7241540610245
oct46330706650
914272038814
105157129640
112207079913
12bbb142034
13642585a00
1436ccc45cc
15202b4362a
hex133638da8

5157129640 has 96 divisors (see below), whose sum is σ = 12665825280. Its totient is φ = 1888862976.

The previous prime is 5157129623. The next prime is 5157129683. The reversal of 5157129640 is 469217515.

It is a super-2 number, since 2×51571296402 = 53191972247533059200, which contains 22 as substring.

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 = 5157129593 and 5157129602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855517 + ... + 861523.

It is an arithmetic number, because the mean of its divisors is an integer number (131935680).

Almost surely, 25157129640 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 5157129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332912640).

5157129640 is an abundant number, since it is smaller than the sum of its proper divisors (7508695640).

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

5157129640 is a wasteful number, since it uses less digits than its factorization.

5157129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5157129640 is about 71813.1578472915. The cubic root of 5157129640 is about 1727.7040432855.

The spelling of 5157129640 in words is "five billion, one hundred fifty-seven million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 169 254 260 338 508 520 635 676 845 1016 1270 1352 1651 1690 2540 3302 3380 5080 6007 6604 6760 8255 12014 13208 16510 21463 24028 30035 33020 42926 48056 60070 66040 78091 85852 107315 120140 156182 171704 214630 240280 312364 390455 429260 624728 762889 780910 858520 1015183 1525778 1561820 2030366 3051556 3123640 3814445 4060732 5075915 6103112 7628890 8121464 9917557 10151830 15257780 19835114 20303660 30515560 39670228 40607320 49587785 79340456 99175570 128928241 198351140 257856482 396702280 515712964 644641205 1031425928 1289282410 2578564820 5157129640