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29195612757136 = 2471961752929873
BaseRepresentation
bin1101010001101101000100…
…01000001001110010010000
310211101001222110011222201001
412220312202020021302100
512311320103331212021
6142032140200551344
76102212333550520
oct650664210116220
9124331873158631
1029195612757136
119336876300911
12333637b782554
13133a1995783a7
1472d10a4ab680
153596a176d091
hex1a8da2209c90

29195612757136 has 160 divisors (see below), whose sum is σ = 69176999174400. Its totient is φ = 11657593405440.

The previous prime is 29195612757133. The next prime is 29195612757137. The reversal of 29195612757136 is 63175721659192.

It is not an unprimeable number, because it can be changed into a prime (29195612757131) 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 31 ways as a sum of consecutive naturals, for example, 977309496 + ... + 977339368.

It is an arithmetic number, because the mean of its divisors is an integer number (432356244840).

Almost surely, 229195612757136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29195612757136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34588499587200).

29195612757136 is an abundant number, since it is smaller than the sum of its proper divisors (39981386417264).

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

29195612757136 is a wasteful number, since it uses less digits than its factorization.

29195612757136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37497 (or 37491 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 64.

The spelling of 29195612757136 in words is "twenty-nine trillion, one hundred ninety-five billion, six hundred twelve million, seven hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 854 976 1064 1159 1708 2128 2318 3416 4636 6832 7529 8113 9272 15058 16226 18544 29873 30116 32452 52703 59746 60232 64904 105406 119492 120464 129808 143051 209111 210812 238984 286102 418222 421624 459269 477968 567587 572204 836444 843248 918538 1001357 1135174 1144408 1672888 1822253 1837076 2002714 2270348 2288816 3214883 3345776 3644506 3674152 3973109 4005428 4540696 6429766 7289012 7348304 7946218 8010856 8726111 9081392 12755771 12859532 14578024 15892436 16021712 17452222 25511542 25719064 29156048 31784872 34622807 34904444 51023084 51438128 61082777 63569744 69245614 69808888 102046168 122165554 138491228 139617776 204092336 224913817 242359649 244331108 276982456 449827634 484719298 488662216 553964912 899655268 969438596 977324432 1574396719 1799310536 1938877192 3148793438 3598621072 3877754384 4273362523 6297586876 8546725046 12595173752 13719742837 17093450092 25190347504 27439485674 29913537661 34186900184 54878971348 59827075322 68373800368 96038199859 109757942696 119654150644 192076399718 219515885392 239308301288 260675113903 384152799436 478616602576 521350227806 768305598872 1042700455612 1536611197744 1824725797321 2085400911224 3649451594642 4170801822448 7298903189284 14597806378568 29195612757136