Search a number
-
+
2013237480996 = 223472112612
BaseRepresentation
bin11101010010111110010…
…011100000111000100100
321010110111222111120010000
4131102332103200320210
5230441102243342441
64140511334101300
7265310621144100
oct35227623407044
97113458446100
102013237480996
1170689a089225
122862191aa830
13117b02bb4471
146d626996900
15375801de2b6
hex1d4be4e0e24

2013237480996 has 135 divisors (see below), whose sum is σ = 6122809549857. Its totient is φ = 575159628960.

The previous prime is 2013237480959. The next prime is 2013237481001. The reversal of 2013237480996 is 6990847323102.

The square root of 2013237480996 is 1418886.

It is a perfect power (a square), and thus also a powerful number.

2013237480996 is a `hidden beast` number, since 20 + 132 + 3 + 7 + 480 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1995399207396 + 17838273600 = 1412586^2 + 133560^2 .

It is a super-2 number, since 2×20132374809962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 178774006 + ... + 178785266.

Almost surely, 22013237480996 is an apocalyptic number.

2013237480996 is the 1418886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013237480996

2013237480996 is an abundant number, since it is smaller than the sum of its proper divisors (4109572068861).

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

2013237480996 is an frugal number, since it uses more digits than its factorization.

2013237480996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22552 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2013237480996 in words is "two trillion, thirteen billion, two hundred thirty-seven million, four hundred eighty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 11261 15876 22522 33783 45044 67566 78827 101349 135132 157654 202698 236481 304047 315308 405396 472962 551789 608094 709443 912141 945924 1103578 1216188 1418886 1655367 1824282 2128329 2207156 2837772 3310734 3648564 4256658 4966101 6384987 6621468 8513316 9932202 12769974 14898303 19864404 25539948 29796606 44694909 59593212 89389818 126810121 178779636 253620242 380430363 507240484 760860726 887670847 1141291089 1521721452 1775341694 2282582178 2663012541 3423873267 3550683388 4565164356 5326025082 6213695929 6847746534 7989037623 10271619801 10652050164 12427391858 13695493068 15978075246 18641087787 20543239602 23967112869 24854783716 31956150492 37282175574 41086479204 47934225738 55923263361 71901338607 74564351148 95868451476 111846526722 143802677214 167769790083 223693053444 287605354428 335539580166 503309370249 671079160332 1006618740498 2013237480996