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38065746040 = 2357294120639
BaseRepresentation
bin100011011100111001…
…010011000001111000
310122020212102020212221
4203130321103001320
51110424312333130
625253121013424
72515206334300
oct433471230170
9118225366787
1038065746040
1115164137453
127464184274
1337884176aa
141bb1748600
15ecbcae87a
hex8dce53078

38065746040 has 96 divisors (see below), whose sum is σ = 99741974400. Its totient is φ = 13036611840.

The previous prime is 38065746031. The next prime is 38065746041. The reversal of 38065746040 is 4064756083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38065746041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834041 + ... + 1854679.

It is an arithmetic number, because the mean of its divisors is an integer number (1038978900).

Almost surely, 238065746040 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 38065746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49870987200).

38065746040 is an abundant number, since it is smaller than the sum of its proper divisors (61676228360).

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

38065746040 is a wasteful number, since it uses less digits than its factorization.

38065746040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21605 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 38065746040 in words is "thirty-eight billion, sixty-five million, seven hundred forty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 941 980 1882 1960 3764 4705 6587 7528 9410 13174 18820 20639 26348 32935 37640 41278 46109 52696 65870 82556 92218 103195 131740 144473 165112 184436 206390 230545 263480 288946 368872 412780 461090 577892 722365 825560 922180 1011311 1155784 1444730 1844360 2022622 2889460 4045244 5056555 5778920 8090488 10113110 19421299 20226220 38842598 40452440 77685196 97106495 135949093 155370392 194212990 271898186 388425980 543796372 679745465 776851960 951643651 1087592744 1359490930 1903287302 2718981860 3806574604 4758218255 5437963720 7613149208 9516436510 19032873020 38065746040