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181147276996 = 22744321012
BaseRepresentation
bin1010100010110100111…
…0000001011011000100
3122022120110120010102021
42220231032001123010
510431442200330441
6215115022452524
716041666310000
oct2505516013304
9568513503367
10181147276996
116a907a08394
122b135a34144
131410b53908a
148aa6323700
154aa32cc3d1
hex2a2d3816c4

181147276996 has 135 divisors (see below), whose sum is σ = 382406673453. Its totient is φ = 75078309600.

The previous prime is 181147276993. The next prime is 181147277023. The reversal of 181147276996 is 699672741181.

The square root of 181147276996 is 425614.

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

181147276996 is digitally balanced in base 3, 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 only one way, i.e., 174044158596 + 7103118400 = 417186^2 + 84280^2 .

It is not an unprimeable number, because it can be changed into a prime (181147276993) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1793537346 + ... + 1793537446.

Almost surely, 2181147276996 is an apocalyptic number.

181147276996 is the 425614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181147276996

181147276996 is an abundant number, since it is smaller than the sum of its proper divisors (201259396457).

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

181147276996 is an frugal number, since it uses more digits than its factorization.

181147276996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 153 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 61.

The spelling of 181147276996 in words is "one hundred eighty-one billion, one hundred forty-seven million, two hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 101 172 196 202 301 343 404 602 686 707 1204 1372 1414 1849 2107 2401 2828 3698 4214 4343 4802 4949 7396 8428 8686 9604 9898 10201 12943 14749 17372 19796 20402 25886 29498 30401 34643 40804 51772 58996 60802 69286 71407 90601 103243 121604 138572 142814 181202 186749 206486 212807 242501 285628 362404 373498 412972 425614 438643 485002 499849 634207 746996 851228 877286 970004 999698 1268414 1307243 1489649 1754572 1999396 2536828 2614486 2979298 3070501 3498943 4439449 5228972 5958596 6141002 6997886 8878898 9150701 10427543 12282004 13995772 17757796 18301402 18861649 20855086 21493507 24492601 36602804 37723298 41710172 42987014 48985202 64054907 75446596 85974028 97970404 128109814 132031543 150454549 256219628 264063086 300909098 448384349 528126172 601818196 896768698 924220801 1053181843 1793537396 1848441602 2106363686 3696883204 4212727372 6469545607 12939091214 25878182428 45286819249 90573638498 181147276996