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5805536472 = 23325310191493
BaseRepresentation
bin1010110100000100…
…10111010011011000
3112222121010210212100
411122002113103120
543342204131342
62400024443400
7263603150211
oct53202272330
915877123770
105805536472
11250a08a52a
121160319560
137169cc7a8
143d106c408
1523ea23e4c
hex15a0974d8

5805536472 has 96 divisors (see below), whose sum is σ = 16046456400. Its totient is φ = 1895532288.

The previous prime is 5805536453. The next prime is 5805536497. The reversal of 5805536472 is 2746355085.

5805536472 is a `hidden beast` number, since 58 + 0 + 553 + 6 + 47 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3887758 + ... + 3889250.

Almost surely, 25805536472 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 5805536472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023228200).

5805536472 is an abundant number, since it is smaller than the sum of its proper divisors (10240919928).

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

5805536472 is a wasteful number, since it uses less digits than its factorization.

5805536472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5805536472 is about 76194.0711079281. The cubic root of 5805536472 is about 1797.2732863632.

The spelling of 5805536472 in words is "five billion, eight hundred five million, five hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1019 1272 1493 1908 2038 2986 3057 3816 4076 4479 5972 6114 8152 8958 9171 11944 12228 13437 17916 18342 24456 26874 35832 36684 53748 54007 73368 79129 107496 108014 158258 162021 216028 237387 316516 324042 432056 474774 486063 633032 648084 712161 949548 972126 1296168 1424322 1521367 1899096 1944252 2848644 3042734 3888504 4564101 5697288 6085468 9128202 12170936 13692303 18256404 27384606 36512808 54769212 80632451 109538424 161264902 241897353 322529804 483794706 645059608 725692059 967589412 1451384118 1935178824 2902768236 5805536472