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38475799296 = 2831131146917
BaseRepresentation
bin100011110101010101…
…100001101100000000
310200022110000010012120
4203311111201230000
51112244301034141
625401525524240
72531315616654
oct436525415400
9120273003176
1038475799296
1115354649540
127559573680
133822368b5c
141c0dda8a64
151002cabc66
hex8f5561b00

38475799296 has 144 divisors (see below), whose sum is σ = 115315350528. Its totient is φ = 11283148800.

The previous prime is 38475799267. The next prime is 38475799367. The reversal of 38475799296 is 69299757483.

It is a self number, because there is not a number n which added to its sum of digits gives 38475799296.

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, 188430 + ... + 335346.

Almost surely, 238475799296 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 38475799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657675264).

38475799296 is an abundant number, since it is smaller than the sum of its proper divisors (76839551232).

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

38475799296 is a wasteful number, since it uses less digits than its factorization.

38475799296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146978 (or 146964 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 38475799296 in words is "thirty-eight billion, four hundred seventy-five million, seven hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5952 7936 8184 8448 10912 11904 16368 21824 23808 32736 43648 65472 87296 130944 146917 261888 293834 440751 587668 881502 1175336 1616087 1763004 2350672 3232174 3526008 4554427 4701344 4848261 6464348 7052016 9108854 9402688 9696522 12928696 13663281 14104032 18217708 18805376 19393044 25857392 27326562 28208064 36435416 37610752 38786088 50098697 51714784 54653124 56416128 72870832 77572176 100197394 103429568 109306248 112832256 145741664 150296091 155144352 200394788 206859136 218612496 291483328 300592182 310288704 400789576 413718272 437224992 582966656 601184364 620577408 801579152 874449984 1165933312 1202368728 1241154816 1603158304 1748899968 2404737456 3206316608 3497799936 4809474912 6412633216 9618949824 12825266432 19237899648 38475799296