Search a number
-
+
38430332080 = 24574712711497
BaseRepresentation
bin100011110010101000…
…000101010010110000
310200012021110010220121
4203302220011102300
51112201131111310
625353223220024
72530224301330
oct436250052260
9120167403817
1038430332080
1115330a14328
1275462a7614
133815b0998a
141c07d310c0
15eedcca0da
hex8f2a054b0

38430332080 has 160 divisors (see below), whose sum is σ = 105117843456. Its totient is φ = 12793116672.

The previous prime is 38430332077. The next prime is 38430332081. The reversal of 38430332080 is 8023303483.

It is not an unprimeable number, because it can be changed into a prime (38430332081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3336892 + ... + 3348388.

Almost surely, 238430332080 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 38430332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52558921728).

38430332080 is an abundant number, since it is smaller than the sum of its proper divisors (66687511376).

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

38430332080 is a wasteful number, since it uses less digits than its factorization.

38430332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 38430332080 in words is "thirty-eight billion, four hundred thirty million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 127 140 188 235 254 280 329 376 470 508 560 635 658 752 889 940 1016 1270 1316 1645 1778 1880 2032 2540 2632 3290 3556 3760 4445 5080 5264 5969 6580 7112 8890 10160 11497 11938 13160 14224 17780 22994 23876 26320 29845 35560 41783 45988 47752 57485 59690 71120 80479 83566 91976 95504 114970 119380 160958 167132 183952 208915 229940 238760 321916 334264 402395 417830 459880 477520 540359 643832 668528 804790 835660 919760 1080718 1287664 1460119 1609580 1671320 2161436 2701795 2920238 3219160 3342640 3782513 4322872 5403590 5840476 6438320 7300595 7565026 8645744 10220833 10807180 11680952 14601190 15130052 18912565 20441666 21614360 23361904 29202380 30260104 37825130 40883332 43228720 51104165 58404760 60520208 68625593 75650260 81766664 102208330 116809520 137251186 151300520 163533328 204416660 274502372 302601040 343127965 408833320 480379151 549004744 686255930 817666640 960758302 1098009488 1372511860 1921516604 2401895755 2745023720 3843033208 4803791510 5490047440 7686066416 9607583020 19215166040 38430332080