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38219275640 = 235713362129
BaseRepresentation
bin100011100110000010…
…111101110101111000
310122122120022100220102
4203212002331311320
51111233113310030
625320243414532
72522052324410
oct434602756570
9118576270812
1038219275640
111523286a517
1274a7684448
1337b1181000
141bc7cb1640
15eda4d9c45
hex8e60bdd78

38219275640 has 128 divisors (see below), whose sum is σ = 106465968000. Its totient is φ = 12095576064.

The previous prime is 38219275603. The next prime is 38219275657. The reversal of 38219275640 is 4657291283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584096 + ... + 646224.

It is an arithmetic number, because the mean of its divisors is an integer number (831765375).

It is a 1-persistent number, because it is pandigital, but 2⋅38219275640 = 76438551280 is not.

Almost surely, 238219275640 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 38219275640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232984000).

38219275640 is an abundant number, since it is smaller than the sum of its proper divisors (68246692360).

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

38219275640 is a wasteful number, since it uses less digits than its factorization.

38219275640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62186 (or 62156 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 38219275640 in words is "thirty-eight billion, two hundred nineteen million, two hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2197 2366 3380 3640 4394 4732 5915 6760 8788 9464 10985 11830 15379 17576 21970 23660 30758 43940 47320 61516 62129 76895 87880 123032 124258 153790 248516 307580 310645 434903 497032 615160 621290 807677 869806 1242580 1615354 1739612 2174515 2485160 3230708 3479224 4038385 4349030 5653739 6461416 8076770 8698060 10499801 11307478 16153540 17396120 20999602 22614956 28268695 32307080 41999204 45229912 52499005 56537390 73498607 83998408 104998010 113074780 136497413 146997214 209996020 226149560 272994826 293994428 367493035 419992040 545989652 587988856 682487065 734986070 955481891 1091979304 1364974130 1469972140 1910963782 2729948260 2939944280 3821927564 4777409455 5459896520 7643855128 9554818910 19109637820 38219275640