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5332495104 = 28326013851
BaseRepresentation
bin1001111011101011…
…10110101100000000
3111202122000211002200
410331311312230000
541410104320404
62241045513200
7246100313646
oct47565665400
914678024080
105332495104
112297066552
121049a12800
1366c9c6261
143882d3196
15213233839
hex13dd76b00

5332495104 has 108 divisors (see below), whose sum is σ = 15404479272. Its totient is φ = 1774080000.

The previous prime is 5332495061. The next prime is 5332495117. The reversal of 5332495104 is 4015942335.

5332495104 is a `hidden beast` number, since 533 + 24 + 95 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1382779 + ... + 1386629.

Almost surely, 25332495104 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 5332495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702239636).

5332495104 is an abundant number, since it is smaller than the sum of its proper divisors (10071984168).

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

5332495104 is a wasteful number, since it uses less digits than its factorization.

5332495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5332495104 is about 73023.9351445812. The cubic root of 5332495104 is about 1747.0693920805.

The spelling of 5332495104 in words is "five billion, three hundred thirty-two million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 601 768 1152 1202 1803 2304 2404 3606 3851 4808 5409 7212 7702 9616 10818 11553 14424 15404 19232 21636 23106 28848 30808 34659 38464 43272 46212 57696 61616 69318 76928 86544 92424 115392 123232 138636 153856 173088 184848 230784 246464 277272 346176 369696 461568 492928 554544 692352 739392 985856 1109088 1384704 1478784 2218176 2314451 2957568 4436352 4628902 6943353 8872704 9257804 13886706 18515608 20830059 27773412 37031216 41660118 55546824 74062432 83320236 111093648 148124864 166640472 222187296 296249728 333280944 444374592 592499456 666561888 888749184 1333123776 1777498368 2666247552 5332495104