Search a number
-
+
36113046060 = 22357213944873
BaseRepresentation
bin100001101000100000…
…010101101000101100
310110012210001211002110
4201220200111220230
51042424414433220
624331243524020
72415625553400
oct415040255054
9113183054073
1036113046060
1114351967013
126bba229610
1335369c1810
141a68283100
15e15641be0
hex868815a2c

36113046060 has 144 divisors (see below), whose sum is σ = 126673587936. Its totient is φ = 7619447808.

The previous prime is 36113046049. The next prime is 36113046061. The reversal of 36113046060 is 6064031163.

It is a super-3 number, since 3×361130460603 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36113046061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434217 + ... + 510656.

It is an arithmetic number, because the mean of its divisors is an integer number (879677694).

Almost surely, 236113046060 is an apocalyptic number.

36113046060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36113046060 is an abundant number, since it is smaller than the sum of its proper divisors (90560541876).

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

36113046060 is a wasteful number, since it uses less digits than its factorization.

36113046060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944912 (or 944903 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 36113046060 in words is "thirty-six billion, one hundred thirteen million, forty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 944873 1889746 2834619 3779492 4724365 5669238 6614111 9448730 11338476 12283349 13228222 14173095 18897460 19842333 24566698 26456444 28346190 33070555 36850047 39684666 46298777 49133396 56692380 61416745 66141110 73700094 79369332 85983443 92597554 99211665 122833490 132282220 138896331 147400188 171966886 184250235 185195108 198423330 231493885 245666980 257950329 277792662 343933772 368500470 396846660 429917215 462987770 515900658 555585324 601884101 694481655 737000940 859834430 925975540 1031801316 1203768202 1289751645 1388963310 1719668860 1805652303 2407536404 2579503290 2777926620 3009420505 3611304606 5159006580 6018841010 7222609212 9028261515 12037682020 18056523030 36113046060