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5109606320 = 2457213100267
BaseRepresentation
bin1001100001000111…
…00110011110110000
3111012002121220011112
410300203212132300
540431024400240
62203004332452
7240422636300
oct46043463660
914162556145
105109606320
11219226a945
12ba7244128
136357869c0
14366873600
151ed8a7665
hex1308e67b0

5109606320 has 120 divisors (see below), whose sum is σ = 14882578704. Its totient is φ = 1617090048.

The previous prime is 5109606301. The next prime is 5109606329. The reversal of 5109606320 is 236069015.

It is a happy number.

It is a super-2 number, since 2×51096063202 = 52216153490767884800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109606329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827 + ... + 101093.

Almost surely, 25109606320 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 5109606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441289352).

5109606320 is an abundant number, since it is smaller than the sum of its proper divisors (9772972384).

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

5109606320 is a wasteful number, since it uses less digits than its factorization.

5109606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100307 (or 100294 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 5109606320 is about 71481.5103365898. The cubic root of 5109606320 is about 1722.3806856589.

The spelling of 5109606320 in words is "five billion, one hundred nine million, six hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 50960 100267 200534 401068 501335 701869 802136 1002670 1303471 1403738 1604272 2005340 2606942 2807476 3509345 4010680 4913083 5213884 5614952 6517355 7018690 8021360 9124297 9826166 10427768 11229904 13034710 14037380 18248594 19652332 20855536 24565415 26069420 28074760 36497188 39304664 45621485 49130830 52138840 56149520 63870079 72994376 78609328 91242970 98261660 104277680 127740158 145988752 182485940 196523320 255480316 319350395 364971880 393046640 510960632 638700790 729943760 1021921264 1277401580 2554803160 5109606320