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5125437440 = 21151729443
BaseRepresentation
bin1001100010111111…
…11111100000000000
3111020012102012101022
410301133333200000
540444102444230
62204331525012
7241004333204
oct46137774000
914205365338
105125437440
1121a01a3012
12bb05b9768
13638b3a726
143689d4b04
151eee831e5
hex1317ff800

5125437440 has 96 divisors (see below), whose sum is σ = 13021903440. Its totient is φ = 1929510912.

The previous prime is 5125437437. The next prime is 5125437463. The reversal of 5125437440 is 447345215.

It is a self number, because there is not a number n which added to its sum of digits gives 5125437440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159359 + ... + 188801.

Almost surely, 25125437440 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 5125437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510951720).

5125437440 is an abundant number, since it is smaller than the sum of its proper divisors (7896466000).

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

5125437440 is a wasteful number, since it uses less digits than its factorization.

5125437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29487 (or 29467 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 5125437440 is about 71592.1604646766. The cubic root of 5125437440 is about 1724.1576720690.

The spelling of 5125437440 in words is "five billion, one hundred twenty-five million, four hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 17408 21760 29443 34816 43520 58886 87040 117772 147215 174080 235544 294430 471088 500531 588860 942176 1001062 1177720 1884352 2002124 2355440 2502655 3768704 4004248 4710880 5005310 7537408 8008496 9421760 10010620 15074816 16016992 18843520 20021240 30149632 32033984 37687040 40042480 60299264 64067968 75374080 80084960 128135936 150748160 160169920 256271872 301496320 320339840 512543744 640679680 1025087488 1281359360 2562718720 5125437440