Search a number
-
+
36456213060 = 22325359564163
BaseRepresentation
bin100001111100111101…
…011010101001000100
310111002200210111201100
4201330331122221010
51044130242304220
624425303100100
72430263461311
oct417475325104
9114080714640
1036456213060
1114508644503
127095141630
13358cb24807
141a9ba91d08
15e3582ad90
hex87cf5aa44

36456213060 has 72 divisors (see below), whose sum is σ = 110892075840. Its totient is φ = 9694559808.

The previous prime is 36456213049. The next prime is 36456213107. The reversal of 36456213060 is 6031265463.

36456213060 is a `hidden beast` number, since 3 + 6 + 4 + 562 + 1 + 30 + 60 = 666.

36456213060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×364562130602 (a number of 22 digits) contains 22 as substring.

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

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, 217462 + ... + 346701.

It is an arithmetic number, because the mean of its divisors is an integer number (1540167720).

Almost surely, 236456213060 is an apocalyptic number.

36456213060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36456213060 is an abundant number, since it is smaller than the sum of its proper divisors (74435862780).

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

36456213060 is a wasteful number, since it uses less digits than its factorization.

36456213060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564537 (or 564532 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36456213060 in words is "thirty-six billion, four hundred fifty-six million, two hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 64620 564163 1128326 1692489 2256652 2820815 3384978 5077467 5641630 6769956 8462445 10154934 11283260 16924890 20309868 25387335 33849780 50774670 101549340 202534517 405069034 607603551 810138068 1012672585 1215207102 1822810653 2025345170 2430414204 3038017755 3645621306 4050690340 6076035510 7291242612 9114053265 12152071020 18228106530 36456213060