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5107523440 = 2451272811789
BaseRepresentation
bin1001100000110111…
…01001111101110000
3111011221201001222211
410300123221331300
540430011222230
62202451541504
7240366142615
oct46033517560
914157631884
105107523440
112191077a58
12ba65ba894
13635207926
1436649050c
151ed5e542a
hex1306e9f70

5107523440 has 80 divisors (see below), whose sum is σ = 12017802240. Its totient is φ = 2018580480.

The previous prime is 5107523429. The next prime is 5107523459. The reversal of 5107523440 is 443257015.

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

It is a congruent number.

It is an unprimeable number.

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, 2854066 + ... + 2855854.

It is an arithmetic number, because the mean of its divisors is an integer number (150222528).

Almost surely, 25107523440 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 5107523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008901120).

5107523440 is an abundant number, since it is smaller than the sum of its proper divisors (6910278800).

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

5107523440 is a wasteful number, since it uses less digits than its factorization.

5107523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 5107523440 is about 71466.9394895290. The cubic root of 5107523440 is about 1722.1466167542.

The spelling of 5107523440 in words is "five billion, one hundred seven million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 281 508 562 635 1016 1124 1270 1405 1789 2032 2248 2540 2810 3578 4496 5080 5620 7156 8945 10160 11240 14312 17890 22480 28624 35687 35780 71374 71560 142748 143120 178435 227203 285496 356870 454406 502709 570992 713740 908812 1005418 1136015 1427480 1817624 2010836 2272030 2513545 2854960 3635248 4021672 4544060 5027090 8043344 9088120 10054180 18176240 20108360 40216720 63844043 127688086 255376172 319220215 510752344 638440430 1021504688 1276880860 2553761720 5107523440