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38365405673244 = 223132373491454987
BaseRepresentation
bin10001011100100101001000…
…11000000111011100011100
312000211200211002022122110220
420232102210120013130130
520012034322323020434
6213332453555001340
711036544342364116
oct1056224430073434
9160750732278426
1038365405673244
111125174a3559a1
124377580899250
131853ac44c76c0
14968c775223b6
15467e8b4dbd49
hex22e4a460771c

38365405673244 has 96 divisors (see below), whose sum is σ = 100610674214400. Its totient is φ = 11289946407168.

The previous prime is 38365405673213. The next prime is 38365405673249. The reversal of 38365405673244 is 44237650456383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38365405673249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25640719 + ... + 27095705.

It is an arithmetic number, because the mean of its divisors is an integer number (1048027856400).

Almost surely, 238365405673244 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 38365405673244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50305337107200).

38365405673244 is an abundant number, since it is smaller than the sum of its proper divisors (62245268541156).

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

38365405673244 is a wasteful number, since it uses less digits than its factorization.

38365405673244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462379 (or 1462377 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 60.

The spelling of 38365405673244 in words is "thirty-eight trillion, three hundred sixty-five billion, four hundred five million, six hundred seventy-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 7349 14698 22047 29396 44094 88188 95537 169027 191074 286611 338054 382148 507081 573222 676108 1014162 1146444 1454987 2028324 2197351 2909974 4364961 4394702 5819948 6592053 8729922 8789404 13184106 17459844 18914831 26368212 33464701 37829662 56744493 66929402 75659324 100394103 113488986 133858804 200788206 226977972 401576412 435041113 870082226 1305123339 1740164452 2610246678 5220493356 10692699463 21385398926 32078098389 42770797852 64156196778 128312393556 139005093019 245932087649 278010186038 417015279057 491864175298 556020372076 737796262947 834030558114 983728350596 1475592525894 1668061116228 2951185051788 3197117139437 6394234278874 9591351418311 12788468557748 19182702836622 38365405673244