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29380311474744 = 2332394035660449
BaseRepresentation
bin1101010111000101000110…
…00001110110001000111000
310212000201201102101222202210
412223202203001312020320
512322331334214142434
6142253043451255120
76121441336005006
oct653424301661070
9125021642358683
1029380311474744
1193a813598008a
123366126a4a4a0
1313517227c1ac9
1473802c33da76
1535e3b1718ee9
hex1ab8a3076238

29380311474744 has 64 divisors (see below), whose sum is σ = 76652455392000. Its totient is φ = 9366637648896.

The previous prime is 29380311474733. The next prime is 29380311474781. The reversal of 29380311474744 is 44747411308392.

It is a happy number.

It is a super-3 number, since 3×293803114747443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2360232 + ... + 8020680.

It is an arithmetic number, because the mean of its divisors is an integer number (1197694615500).

Almost surely, 229380311474744 is an apocalyptic number.

29380311474744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29380311474744 is an abundant number, since it is smaller than the sum of its proper divisors (47272143917256).

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

29380311474744 is a wasteful number, since it uses less digits than its factorization.

29380311474744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669884 (or 5669880 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 29380311474744 in words is "twenty-nine trillion, three hundred eighty billion, three hundred eleven million, four hundred seventy-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 9403 18806 28209 37612 56418 75224 112836 216269 225672 432538 648807 865076 1297614 1730152 2595228 5190456 5660449 11320898 16981347 22641796 33962694 45283592 67925388 130190327 135850776 260380654 390570981 520761308 781141962 1041522616 1562283924 3124567848 53225201947 106450403894 159675605841 212900807788 319351211682 425801615576 638702423364 1224179644781 1277404846728 2448359289562 3672538934343 4896718579124 7345077868686 9793437158248 14690155737372 29380311474744