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5213406132 = 22331113273307
BaseRepresentation
bin1001101101011111…
…00100001110110100
3111110022221110202000
410312233210032310
541134112444012
62221153215300
7243123135534
oct46657441664
914408843660
105213406132
112235917210
121015b61530
1365112abcc
143765734c4
15207a5cddc
hex136be43b4

5213406132 has 96 divisors (see below), whose sum is σ = 14760560640. Its totient is φ = 1578152160.

The previous prime is 5213406103. The next prime is 5213406151. The reversal of 5213406132 is 2316043125.

5213406132 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 40 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5213406096 and 5213406105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574823 + ... + 1578129.

It is an arithmetic number, because the mean of its divisors is an integer number (153755840).

Almost surely, 25213406132 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 5213406132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380280320).

5213406132 is an abundant number, since it is smaller than the sum of its proper divisors (9547154508).

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

5213406132 is a wasteful number, since it uses less digits than its factorization.

5213406132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5213406132 is about 72203.9204752761. The cubic root of 5213406132 is about 1733.9657684122.

Adding to 5213406132 its reverse (2316043125), we get a palindrome (7529449257).

The spelling of 5213406132 in words is "five billion, two hundred thirteen million, four hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1327 2654 3307 3981 5308 6614 7962 9921 11943 13228 14597 15924 19842 23886 29194 29763 35829 36377 39684 43791 47772 58388 59526 71658 72754 87582 89289 109131 119052 131373 143316 145508 175164 178578 218262 262746 327393 357156 394119 436524 525492 654786 788238 982179 1309572 1576476 1964358 3928716 4388389 8776778 13165167 17553556 26330334 39495501 48272279 52660668 78991002 96544558 118486503 144816837 157982004 193089116 236973006 289633674 434450511 473946012 579267348 868901022 1303351533 1737802044 2606703066 5213406132