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3372184995201 = 3121122292
BaseRepresentation
bin110001000100100101111…
…000111000010110000001
3102221101012101000000000000
4301010211320320112001
5420222213324321301
611101054351350213
7465426613342461
oct61044570702601
912841171000000
103372184995201
111090154576300
12465675b22369
131b5cc3682c09
14b9300d03ba1
155cab9269786
hex31125e38581

3372184995201 has 117 divisors (see below), whose sum is σ = 5584306515123. Its totient is φ = 2034823816080.

The previous prime is 3372184995161. The next prime is 3372184995227. The reversal of 3372184995201 is 1025994812733.

The square root of 3372184995201 is 1836351.

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

3372184995201 is a `hidden beast` number, since 3 + 3 + 7 + 21 + 8 + 4 + 99 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3140689295601 + 231495699600 = 1772199^2 + 481140^2 .

It is not a de Polignac number, because 3372184995201 - 237 = 3234746041729 is a prime.

It is a super-2 number, since 2×33721849952012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3372184995251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 14725698555 + ... + 14725698783.

Almost surely, 23372184995201 is an apocalyptic number.

3372184995201 is the 1836351-st square number.

3372184995201 is the 918176-th centered octagonal number.

It is an amenable number.

3372184995201 is a deficient number, since it is larger than the sum of its proper divisors (2212121519922).

3372184995201 is an frugal number, since it uses more digits than its factorization.

3372184995201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3372184995201 in words is "three trillion, three hundred seventy-two billion, one hundred eighty-four million, nine hundred ninety-five thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 229 243 297 363 687 729 891 1089 2061 2187 2519 2673 3267 6183 6561 7557 8019 9801 18549 19683 22671 24057 27709 29403 52441 55647 59049 68013 72171 83127 88209 157323 166941 177147 204039 216513 249381 264627 471969 500823 531441 576851 612117 649539 748143 793881 1415907 1502469 1730553 1836351 1948617 2244429 2381643 4247721 4507407 5191659 5509053 5845851 6345361 6733287 7144929 12743163 13522221 15574977 16527159 19036083 20199861 21434787 38229489 40566663 46724931 49581477 57108249 60599583 64304361 114688467 121699989 140174793 148744431 171324747 181798749 344065401 420524379 446233293 513974241 545396247 1032196203 1261573137 1338699879 1541922723 1636188741 3096588609 3784719411 4625768169 4908566223 9289765827 11354158233 13877304507 14725698669 27869297481 34062474699 41631913521 102187424097 124895740563 306562272291 374687221689 1124061665067 3372184995201