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38258069472 = 253372903677
BaseRepresentation
bin100011101000010110…
…111100111111100000
310122202021022022001000
4203220112330333200
51111323031210342
625324151112000
72523033140100
oct435026747740
9118667268030
1038258069472
1115252756937
1274b8672600
1337b921483c
141bcd0cd200
15eddaee44c
hex8e85bcfe0

38258069472 has 144 divisors (see below), whose sum is σ = 129804307920. Its totient is φ = 10930864896.

The previous prime is 38258069413. The next prime is 38258069599. The reversal of 38258069472 is 27496085283.

38258069472 is a `hidden beast` number, since 38 + 2 + 5 + 80 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 409503 + ... + 494174.

It is an arithmetic number, because the mean of its divisors is an integer number (901418805).

Almost surely, 238258069472 is an apocalyptic number.

38258069472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38258069472 is an abundant number, since it is smaller than the sum of its proper divisors (91546238448).

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

38258069472 is a wasteful number, since it uses less digits than its factorization.

38258069472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903710 (or 903689 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38258069472 in words is "thirty-eight billion, two hundred fifty-eight million, sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 903677 1807354 2711031 3614708 5422062 6325739 7229416 8133093 10844124 12651478 14458832 16266186 18977217 21688248 24399279 25302956 28917664 32532372 37954434 43376496 44280173 48798558 50605912 56931651 65064744 75908868 86752992 88560346 97597116 101211824 113863302 130129488 132840519 151817736 170794953 177120692 195194232 202423648 227726604 260258976 265681038 303635472 341589906 354241384 390388464 398521557 455453208 531362076 607270944 683179812 708482768 780776928 797043114 910906416 1062724152 1195564671 1366359624 1416965536 1594086228 1821812832 2125448304 2391129342 2732719248 3188172456 4250896608 4782258684 5465438496 6376344912 9564517368 12752689824 19129034736 38258069472