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29039186440 = 23511411998089
BaseRepresentation
bin11011000010110111…
…101101001000001000
32202221210100111221201
4123002313231020020
5433433012431230
621201310313544
72045422004065
oct330267551010
982853314851
1029039186440
1111351955640
1257651b88b4
13297a2c8374
1415969bbc6c
15b4e5d85ca
hex6c2ded208

29039186440 has 128 divisors (see below), whose sum is σ = 73392480000. Its totient is φ = 10249113600.

The previous prime is 29039186417. The next prime is 29039186461. The reversal of 29039186440 is 4468193092.

It is a super-4 number, since 4×290391864404 (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3585916 + ... + 3594004.

It is an arithmetic number, because the mean of its divisors is an integer number (573378750).

Almost surely, 229039186440 is an apocalyptic number.

29039186440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29039186440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36696240000).

29039186440 is an abundant number, since it is smaller than the sum of its proper divisors (44353293560).

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

29039186440 is a wasteful number, since it uses less digits than its factorization.

29039186440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 29039186440 in words is "twenty-nine billion, thirty-nine million, one hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 199 205 220 328 398 410 440 451 796 820 902 995 1592 1640 1804 1990 2189 2255 3608 3980 4378 4510 7960 8089 8159 8756 9020 10945 16178 16318 17512 18040 21890 32356 32636 40445 40795 43780 64712 65272 80890 81590 87560 88979 89749 161780 163180 177958 179498 323560 326360 331649 355916 358996 444895 448745 663298 711832 717992 889790 897490 1326596 1609711 1658245 1779580 1794980 2653192 3219422 3316490 3559160 3589960 3648139 6438844 6632980 7296278 8048555 12877688 13265960 14592556 16097110 17706821 18240695 29185112 32194220 35413642 36481390 64388440 65998151 70827284 72962780 88534105 131996302 141654568 145925560 177068210 263992604 329990755 354136420 527985208 659981510 708272840 725979661 1319963020 1451959322 2639926040 2903918644 3629898305 5807837288 7259796610 14519593220 29039186440