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38199727842690 = 23541401161947837
BaseRepresentation
bin10001010111110000100010…
…01101010110010110000010
312000020212011201020211012110
420223320101031112112002
520001331020311431230
6213124413540040150
711021560603145061
oct1053702115262602
9160225151224173
1038199727842690
1111198460558697
12434b443693056
1318412acb5283b
14960c3b9041d8
154639e13544b0
hex22be11356582

38199727842690 has 128 divisors (see below), whose sum is σ = 94209753818880. Its totient is φ = 9907026944000.

The previous prime is 38199727842677. The next prime is 38199727842691. The reversal of 38199727842690 is 9624872799183.

It is a super-2 number, since 2×381997278426902 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38199727842691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798515452 + ... + 798563288.

It is an arithmetic number, because the mean of its divisors is an integer number (736013701710).

Almost surely, 238199727842690 is an apocalyptic number.

38199727842690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38199727842690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47104876909440).

38199727842690 is an abundant number, since it is smaller than the sum of its proper divisors (56010025976190).

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

38199727842690 is a wasteful number, since it uses less digits than its factorization.

38199727842690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49908.

The product of its (nonzero) digits is 658409472, while the sum is 75.

The spelling of 38199727842690 in words is "thirty-eight trillion, one hundred ninety-nine billion, seven hundred twenty-seven million, eight hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 401 410 615 802 1203 1230 1619 2005 2406 3238 4010 4857 6015 8095 9714 12030 16190 16441 24285 32882 47837 48570 49323 66379 82205 95674 98646 132758 143511 164410 199137 239185 246615 287022 331895 398274 478370 493230 649219 663790 717555 995685 1298438 1435110 1947657 1961317 1991370 3246095 3895314 3922634 5883951 6492190 9738285 9806585 11767902 19182637 19476570 19613170 26617979 29419755 38365274 53235958 57547911 58839510 77448103 79853937 95913185 115095822 133089895 154896206 159707874 191826370 232344309 266179790 287739555 387240515 399269685 464688618 575479110 774481030 786488117 798539370 1161721545 1572976234 2323443090 2359464351 3175372223 3932440585 4718928702 6350744446 7864881170 9526116669 11797321755 15876861115 19052233338 23594643510 31056689303 31753722230 47630583345 62113378606 93170067909 95261166690 155283446515 186340135818 310566893030 465850339545 931700679090 1273324261423 2546648522846 3819972784269 6366621307115 7639945568538 12733242614230 19099863921345 38199727842690