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2150536122036 = 2232734199771999
BaseRepresentation
bin11111010010110101111…
…100010000111010110100
321121120220120010012000100
4133102311330100322310
5240213244221401121
64323535340314100
7311241201300231
oct37226574207264
97546816105010
102150536122036
1175a0456383a5
122a8956242930
13127a43c052b3
147612d51a788
153ae18bad026
hex1f4b5f10eb4

2150536122036 has 144 divisors (see below), whose sum is σ = 5532115680000. Its totient is φ = 704263735296.

The previous prime is 2150536122013. The next prime is 2150536122067. The reversal of 2150536122036 is 6302216350512.

2150536122036 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 5 + 3 + 612 + 2 + 0 + 36 = 666.

It is a super-2 number, since 2×21505361220362 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1075804965 + ... + 1075806963.

It is an arithmetic number, because the mean of its divisors is an integer number (38417470000).

Almost surely, 22150536122036 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 2150536122036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766057840000).

2150536122036 is an abundant number, since it is smaller than the sum of its proper divisors (3381579557964).

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

2150536122036 is a wasteful number, since it uses less digits than its factorization.

2150536122036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2150536122036 in words is "two trillion, one hundred fifty billion, five hundred thirty-six million, one hundred twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 419 438 657 838 876 977 1257 1314 1676 1954 1999 2514 2628 2931 3771 3908 3998 5028 5862 5997 7542 7996 8793 11724 11994 15084 17586 17991 23988 30587 35172 35982 61174 71321 71964 91761 122348 142642 145927 183522 213963 275283 285284 291854 367044 409363 427926 437781 550566 583708 641889 818726 837581 855852 875562 1101132 1228089 1283778 1313343 1637452 1675162 1751124 1953023 2456178 2512743 2567556 2626686 3350324 3684267 3906046 4912356 5025486 5253372 5859069 7368534 7538229 7812092 10050972 11718138 14737068 15076458 17577207 23436276 29883499 30152916 35154414 59766998 61143413 70308828 89650497 119533996 122286826 142570679 179300994 183430239 244573652 268951491 285141358 358601988 366860478 427712037 537902982 550290717 570282716 733720956 818316637 855424074 1075805964 1100581434 1283136111 1636633274 1710848148 2201162868 2454949911 2566272222 3273266548 4909899822 5132544444 7364849733 9819799644 14729699466 29459398932 59737114501 119474229002 179211343503 238948458004 358422687006 537634030509 716845374012 1075268061018 2150536122036