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29570131382022 = 23371129632400143
BaseRepresentation
bin1101011100100110101010…
…01011010100111100000110
310212200212200022001101101000
412232103111023110330012
512333434112113211042
6142520155242514130
76141241264414260
oct656232513247406
9125625608041330
1029570131382022
119470693300a10
123396a81205946
1313665b3a1967a
147432b83bcb30
153642c10a974c
hex1ae4d52d4f06

29570131382022 has 128 divisors (see below), whose sum is σ = 81953588920320. Its totient is φ = 7677958252320.

The previous prime is 29570131381991. The next prime is 29570131382039. The reversal of 29570131382022 is 22028313107592.

29570131382022 is a `hidden beast` number, since 2 + 9 + 570 + 1 + 3 + 1 + 38 + 20 + 22 = 666.

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 63 ways as a sum of consecutive naturals, for example, 11120083 + ... + 13520225.

It is an arithmetic number, because the mean of its divisors is an integer number (640262413440).

Almost surely, 229570131382022 is an apocalyptic number.

29570131382022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29570131382022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40976794460160).

29570131382022 is an abundant number, since it is smaller than the sum of its proper divisors (52383457538298).

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

29570131382022 is a wasteful number, since it uses less digits than its factorization.

29570131382022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403135 (or 2403129 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29570131382022 in words is "twenty-nine trillion, five hundred seventy billion, one hundred thirty-one million, three hundred eighty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 2963 4158 5926 8889 17778 20741 26667 32593 41482 53334 62223 65186 80001 97779 124446 160002 186669 195558 228151 293337 373338 456302 560007 586674 684453 880011 1120014 1368906 1760022 2053359 2400143 4106718 4800286 6160077 7200429 12320154 14400858 16801001 21601287 26401573 33602002 43202574 50403003 52803146 64803861 79204719 100806006 129607722 151209009 158409438 184811011 237614157 302418018 369622022 453627027 475228314 554433033 712842471 907254054 1108866066 1425684942 1663299099 3326598198 4989897297 7111623709 9979794594 14223247418 21334871127 42669742254 49781365963 64004613381 78227860799 99562731926 128009226762 149344097889 156455721598 192013840143 234683582397 298688195778 384027680286 448032293667 469367164794 547595025593 704050747191 896064587334 1095190051186 1344096881001 1408101494382 1642785076779 2112152241573 2688193762002 3285570153558 4224304483146 4928355230337 9856710460674 14785065691011 29570131382022