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29451319996014 = 233777913544963
BaseRepresentation
bin1101011001001001010110…
…11101110110111001101110
310212021112000010110121202000
412230210223131312321232
512330012300404333024
6142345425530313130
76126534110325630
oct654445335667156
9125245003417660
1029451319996014
119425264386104
123377a435887a6
13135832ab6b0b7
1473b646c80a50
1536116a640cc9
hex1ac92b776e6e

29451319996014 has 32 divisors (see below), whose sum is σ = 74797003165440. Its totient is φ = 8414662855896.

The previous prime is 29451319996003. The next prime is 29451319996057. The reversal of 29451319996014 is 41069991315492.

29451319996014 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 1 + 3 + 19 + 9 + 9 + 601 + 4 = 666.

It is a super-2 number, since 2×294513199960142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38956772104 + ... + 38956772859.

It is an arithmetic number, because the mean of its divisors is an integer number (2337406348920).

Almost surely, 229451319996014 is an apocalyptic number.

29451319996014 is an abundant number, since it is smaller than the sum of its proper divisors (45345683169426).

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

29451319996014 is a wasteful number, since it uses less digits than its factorization.

29451319996014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77913544981 (or 77913544975 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 29451319996014 in words is "twenty-nine trillion, four hundred fifty-one billion, three hundred nineteen million, nine hundred ninety-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 77913544963 155827089926 233740634889 467481269778 545394814741 701221904667 1090789629482 1402443809334 1636184444223 2103665714001 3272368888446 4207331428002 4908553332669 9817106665338 14725659998007 29451319996014