Search a number
-
+
38230574148 = 223213234186627
BaseRepresentation
bin100011100110101110…
…000100010001000100
310122200100120101112200
4203212232010101010
51111244011333043
625321325514500
72522250342564
oct434656042104
9118610511480
1038230574148
1115239187228
1274ab412a30
1337b3608910
141bc95b2da4
15edb4bc7d3
hex8e6b84444

38230574148 has 144 divisors (see below), whose sum is σ = 111246984576. Its totient is φ = 10977246720.

The previous prime is 38230574093. The next prime is 38230574149. The reversal of 38230574148 is 84147503283.

38230574148 is a `hidden beast` number, since 3 + 8 + 2 + 30 + 574 + 1 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (38230574149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398011 + ... + 484637.

It is an arithmetic number, because the mean of its divisors is an integer number (772548504).

Almost surely, 238230574148 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 38230574148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55623492288).

38230574148 is an abundant number, since it is smaller than the sum of its proper divisors (73016410428).

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

38230574148 is a wasteful number, since it uses less digits than its factorization.

38230574148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86714 (or 86709 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38230574148 in words is "thirty-eight billion, two hundred thirty million, five hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 533 598 738 828 897 943 1066 1196 1476 1599 1794 1886 2132 2691 2829 3198 3588 3772 4797 5382 5658 6396 8487 9594 10764 11316 12259 16974 19188 24518 33948 36777 49036 73554 86627 110331 147108 173254 220662 259881 346508 441324 519762 779643 1039524 1126151 1559286 1992421 2252302 3118572 3378453 3551707 3984842 4504604 5977263 6756906 7103414 7969684 10135359 10655121 11954526 13513812 14206828 17931789 20270718 21310242 23909052 25901473 31965363 35863578 40541436 42620484 46172191 51802946 63930726 71727156 77704419 81689261 92344382 103605892 127861452 138516573 155408838 163378522 184688764 233113257 245067783 277033146 310817676 326757044 415549719 466226514 490135566 554066292 735203349 831099438 932453028 980271132 1061960393 1470406698 1662198876 2123920786 2940813396 3185881179 4247841572 6371762358 9557643537 12743524716 19115287074 38230574148