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2115532355112 = 2332112909126711
BaseRepresentation
bin11110110010001111100…
…011011111011000101000
321111020120002100120211100
4132302033203133120220
5234130102240330422
64255510120201400
7305561602214511
oct36621743373050
97436502316740
102115532355112
11746212954200
122a2007609260
13124655c92b87
147456c70da08
153a06ab367ac
hex1ec8f8df628

2115532355112 has 144 divisors (see below), whose sum is σ = 6298716846240. Its totient is φ = 640975896000.

The previous prime is 2115532355081. The next prime is 2115532355129.

2115532355112 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 532 + 3 + 5 + 5 + 112 = 666.

2115532355112 is nontrivially palindromic in base 10.

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

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 35 ways as a sum of consecutive naturals, for example, 79187437 + ... + 79214147.

It is an arithmetic number, because the mean of its divisors is an integer number (43741089210).

Almost surely, 22115532355112 is an apocalyptic number.

2115532355112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115532355112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149358423120).

2115532355112 is an abundant number, since it is smaller than the sum of its proper divisors (4183184491128).

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

2115532355112 is a wasteful number, since it uses less digits than its factorization.

2115532355112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35836 (or 35818 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 2115532355112 in words is "two trillion, one hundred fifteen billion, five hundred thirty-two million, three hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 9091 18182 26711 27273 36364 53422 54546 72728 80133 81819 100001 106844 109092 160266 163638 200002 213688 218184 240399 293821 300003 320532 327276 400004 480798 587642 600006 641064 654552 800008 881463 900009 961596 1100011 1175284 1200012 1762926 1800018 1923192 2200022 2350568 2400024 2644389 3232031 3300033 3525852 3600036 4400044 5288778 6464062 6600066 7051704 7200072 8800088 9696093 9900099 10577556 12928124 13200132 19392186 19800198 21155112 25856248 26400264 29088279 38784372 39600396 58176558 77568744 79200792 116353116 232706232 242829701 485659402 728489103 971318804 1456978206 1942637608 2185467309 2671126711 2913956412 4370934618 5342253422 5827912824 8013380133 8741869236 10684506844 16026760266 17483738472 21369013688 24040140399 29382393821 32053520532 48080280798 58764787642 64107041064 88147181463 96160561596 117529575284 176294362926 192321123192 235059150568 264441544389 352588725852 528883088778 705177451704 1057766177556 2115532355112