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38816574084 = 2235675771033
BaseRepresentation
bin100100001001101001…
…011110101010000100
310201012012020021100000
4210021221132222010
51113444020332314
625455421521300
72542624302321
oct441151365204
9121165207300
1038816574084
1115509a426a2
127633713230
133877b42042
141c43353b48
151022b72209
hex909a5ea84

38816574084 has 144 divisors (see below), whose sum is σ = 103551576128. Its totient is φ = 12711333888.

The previous prime is 38816574067. The next prime is 38816574103. The reversal of 38816574084 is 48047561883.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38816574084.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37576032 + ... + 37577064.

Almost surely, 238816574084 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 38816574084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775788064).

38816574084 is an abundant number, since it is smaller than the sum of its proper divisors (64735002044).

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

38816574084 is a wasteful number, since it uses less digits than its factorization.

38816574084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 38816574084 in words is "thirty-eight billion, eight hundred sixteen million, five hundred seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 577 603 804 972 1033 1154 1206 1731 1809 2066 2308 2412 3099 3462 3618 4132 5193 5427 6198 6924 7236 9297 10386 10854 12396 15579 16281 18594 20772 21708 27891 31158 32562 37188 38659 46737 55782 62316 65124 69211 77318 83673 93474 111564 115977 138422 140211 154636 167346 186948 207633 231954 251019 276844 280422 334692 347931 415266 463908 502038 560844 596041 622899 695862 830532 1004076 1043793 1192082 1245798 1391724 1788123 1868697 2087586 2384164 2491596 3131379 3576246 3737394 4175172 5364369 5606091 6262758 7152492 7474788 9394137 10728738 11212182 12525516 16093107 16818273 18788274 21457476 22424364 32186214 33636546 37576548 39934747 48279321 64372428 67273092 79869494 96558642 119804241 144837963 159738988 193117284 239608482 289675926 359412723 479216964 579351852 718825446 1078238169 1437650892 2156476338 3234714507 4312952676 6469429014 9704143521 12938858028 19408287042 38816574084