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51006028040136 = 23321393775811413
BaseRepresentation
bin10111001100011110001000…
…01011101100011111001000
320200121010110210101212010200
423212033010023230133020
523141140321134241021
6300251502405412200
713513030631602161
oct1346170413543710
9220533423355120
1051006028040136
1115285598116834
12587938770a060
13225cb03824470
14c849c247c768
155d6bb56ec126
hex2e63c42ec7c8

51006028040136 has 96 divisors (see below), whose sum is σ = 148783472543160. Its totient is φ = 15692486086656.

The previous prime is 51006028040089. The next prime is 51006028040137. The reversal of 51006028040136 is 63104082060015.

It is a happy number.

51006028040136 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 602 + 8 + 0 + 40 + 1 + 3 + 6 = 666.

51006028040136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38329793503236 + 12676234536900 = 6191106^2 + 3560370^2 .

It is a super-2 number, since 2×510060280401362 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51006028040136.

It is not an unprimeable number, because it can be changed into a prime (51006028040137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5871166 + ... + 11682578.

Almost surely, 251006028040136 is an apocalyptic number.

It is an amenable number.

51006028040136 is an abundant number, since it is smaller than the sum of its proper divisors (97777444503024).

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

51006028040136 is a wasteful number, since it uses less digits than its factorization.

51006028040136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820815 (or 5820808 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 51006028040136 in words is "fifty-one trillion, six billion, twenty-eight million, forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 9377 18754 28131 37508 56262 75016 84393 112524 121901 168786 225048 243802 337572 365703 487604 675144 731406 975208 1097109 1462812 2194218 2925624 4388436 5811413 8776872 11622826 17434239 23245652 34868478 46491304 52302717 69736956 75548369 104605434 139473912 151096738 209210868 226645107 302193476 418421736 453290214 604386952 679935321 906580428 1359870642 1813160856 2719741284 5439482568 54493619701 108987239402 163480859103 217974478804 326961718206 435948957608 490442577309 653923436412 708417056113 980885154618 1307846872824 1416834112226 1961770309236 2125251168339 2833668224452 3923540618472 4250502336678 5667336448904 6375753505017 8501004673356 12751507010034 17002009346712 25503014020068 51006028040136