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5164086510 = 2325115988411
BaseRepresentation
bin1001100111100110…
…11011010011101110
3111022220010202221100
410303303123103232
541034001232020
62212232143530
7241654003542
oct46363332356
914286122840
105164086510
11220aaa06a0
121001537ba6
13643b503bb
1436dbb5a22
15203569a90
hex133cdb4ee

5164086510 has 96 divisors (see below), whose sum is σ = 14895653760. Its totient is φ = 1230667200.

The previous prime is 5164086491. The next prime is 5164086517. The reversal of 5164086510 is 156804615.

5164086510 is a `hidden beast` number, since 5 + 1 + 64 + 0 + 86 + 510 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164086517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14205 + ... + 102615.

It is an arithmetic number, because the mean of its divisors is an integer number (155163060).

Almost surely, 25164086510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164086510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447826880).

5164086510 is an abundant number, since it is smaller than the sum of its proper divisors (9731567250).

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

5164086510 is a wasteful number, since it uses less digits than its factorization.

5164086510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88494 (or 88491 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5164086510 is about 71861.5788164997. The cubic root of 5164086510 is about 1728.4805742022.

The spelling of 5164086510 in words is "five billion, one hundred sixty-four million, eighty-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2655 3245 3894 5310 5841 6490 9735 11682 19470 29205 58410 88411 176822 265233 442055 530466 795699 884110 972521 1326165 1591398 1945042 2652330 2917563 3978495 4862605 5216249 5835126 7956990 8752689 9725210 10432498 14587815 15648747 17505378 26081245 29175630 31297494 43763445 46946241 52162490 57378739 78243735 87526890 93892482 114757478 156487470 172136217 234731205 286893695 344272434 469462410 516408651 573787390 860681085 1032817302 1721362170 2582043255 5164086510