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5990502624 = 2532912716943
BaseRepresentation
bin1011001010000111…
…11101000011100000
3120110111012001201120
411211003331003200
544232032040444
62430233132240
7301310301141
oct54503750340
916414161646
105990502624
1125a4534317
1211b225a080
13746121c12
1440b859ac8
15250dadb19
hex1650fd0e0

5990502624 has 96 divisors (see below), whose sum is σ = 16396369920. Its totient is φ = 1912684032.

The previous prime is 5990502601. The next prime is 5990502631. The reversal of 5990502624 is 4262050995.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×59905026242 = 71772243376301770752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345097 + ... + 362039.

It is an arithmetic number, because the mean of its divisors is an integer number (170795520).

Almost surely, 25990502624 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 5990502624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198184960).

5990502624 is an abundant number, since it is smaller than the sum of its proper divisors (10405867296).

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

5990502624 is a wasteful number, since it uses less digits than its factorization.

5990502624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17112 (or 17104 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5990502624 is about 77398.3373464831. The cubic root of 5990502624 is about 1816.1613155359.

The spelling of 5990502624 in words is "five billion, nine hundred ninety million, five hundred two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 127 174 232 254 348 381 464 508 696 762 928 1016 1392 1524 2032 2784 3048 3683 4064 6096 7366 11049 12192 14732 16943 22098 29464 33886 44196 50829 58928 67772 88392 101658 117856 135544 176784 203316 271088 353568 406632 491347 542176 813264 982694 1474041 1626528 1965388 2151761 2948082 3930776 4303522 5896164 6455283 7861552 8607044 11792328 12910566 15723104 17214088 23584656 25821132 34428176 47169312 51642264 62401069 68856352 103284528 124802138 187203207 206569056 249604276 374406414 499208552 748812828 998417104 1497625656 1996834208 2995251312 5990502624