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38134606734 = 236719332
BaseRepresentation
bin100011100000111111…
…111110101110001110
310122102122222202000000
4203200333332232032
51111044424403414
625304020545130
72520003544320
oct434077765616
9118378882000
1038134606734
1115199a9a514
1274832521a6
133799777773
141bba951610
15ed2d62b09
hex8e0ffeb8e

38134606734 has 84 divisors (see below), whose sum is σ = 98066312136. Its totient is φ = 10889965296.

The previous prime is 38134606709. The next prime is 38134606747. The reversal of 38134606734 is 43760643183.

38134606734 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 4 + 606 + 7 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38134606734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 19727232 + ... + 19729164.

Almost surely, 238134606734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38134606734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49033156068).

38134606734 is an abundant number, since it is smaller than the sum of its proper divisors (59931705402).

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

38134606734 is an frugal number, since it uses more digits than its factorization.

38134606734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 38134606734 in words is "thirty-eight billion, one hundred thirty-four million, six hundred six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 1933 3402 3866 5103 5799 10206 11598 13531 17397 27062 34794 40593 52191 81186 104382 121779 156573 243558 313146 365337 469719 730674 939438 1096011 1409157 2192022 2818314 3288033 3736489 6576066 7472978 9864099 11209467 19728198 22418934 26155423 33628401 52310846 67256802 78466269 100885203 156932538 201770406 235398807 302655609 470797614 605311218 706196421 907966827 1412392842 1815933654 2118589263 2723900481 4237178526 5447800962 6355767789 12711535578 19067303367 38134606734