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5025611264 = 29171930389
BaseRepresentation
bin1001010111000110…
…01011111000000000
3110222020120111121112
410223203023320000
540243024030024
62150404142452
7235352663612
oct45343137000
913866514545
105025611264
112149910143
12b83097a28
1362125809b
1435964adb2
151e631500e
hex12b8cbe00

5025611264 has 80 divisors (see below), whose sum is σ = 11192029200. Its totient is φ = 2240446464.

The previous prime is 5025611257. The next prime is 5025611309. The reversal of 5025611264 is 4621165205.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5025611264.

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, 150182 + ... + 180570.

It is an arithmetic number, because the mean of its divisors is an integer number (139900365).

Almost surely, 25025611264 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 5025611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596014600).

5025611264 is an abundant number, since it is smaller than the sum of its proper divisors (6166417936).

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

5025611264 is a wasteful number, since it uses less digits than its factorization.

5025611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30443 (or 30427 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5025611264 is about 70891.5457865040. The cubic root of 5025611264 is about 1712.8906187914.

Adding to 5025611264 its reverse (4621165205), we get a palindrome (9646776469).

The spelling of 5025611264 in words is "five billion, twenty-five million, six hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 8704 9728 10336 20672 30389 41344 60778 82688 121556 165376 243112 486224 516613 577391 972448 1033226 1154782 1944896 2066452 2309564 3889792 4132904 4619128 7779584 8265808 9238256 9815647 15559168 16531616 18476512 19631294 33063232 36953024 39262588 66126464 73906048 78525176 132252928 147812096 157050352 264505856 295624192 314100704 628201408 1256402816 2512805632 5025611264