Search a number
-
+
30453216660 = 22325476159011
BaseRepresentation
bin11100010111001001…
…110011010110010100
32220121100002200202100
4130113021303112110
5444332010413120
621553502042100
72125442033136
oct342711632624
986540080670
1030453216660
1111a08057459
125a9a879330
132b44249c39
14168c703056
15bd3800490
hex717273594

30453216660 has 144 divisors (see below), whose sum is σ = 95888362752. Its totient is φ = 7817644800.

The previous prime is 30453216643. The next prime is 30453216667. The reversal of 30453216660 is 6661235403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30453216667) 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, 486555 + ... + 545565.

It is an arithmetic number, because the mean of its divisors is an integer number (665891408).

Almost surely, 230453216660 is an apocalyptic number.

30453216660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30453216660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47944181376).

30453216660 is an abundant number, since it is smaller than the sum of its proper divisors (65435146092).

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

30453216660 is a wasteful number, since it uses less digits than its factorization.

30453216660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59134 (or 59129 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 30453216660 in words is "thirty billion, four hundred fifty-three million, two hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 61 90 94 122 141 180 183 188 235 244 282 305 366 423 470 549 564 610 705 732 846 915 940 1098 1220 1410 1692 1830 2115 2196 2745 2820 2867 3660 4230 5490 5734 8460 8601 10980 11468 14335 17202 25803 28670 34404 43005 51606 57340 59011 86010 103212 118022 129015 172020 177033 236044 258030 295055 354066 516060 531099 590110 708132 885165 1062198 1180220 1770330 2124396 2655495 2773517 3540660 3599671 5310990 5547034 7199342 8320551 10621980 10799013 11094068 13867585 14398684 16641102 17998355 21598026 24961653 27735170 32397039 33282204 35996710 41602755 43196052 49923306 53995065 55470340 64794078 71993420 83205510 99846612 107990130 124808265 129588156 161985195 166411020 169184537 215980260 249616530 323970390 338369074 499233060 507553611 647940780 676738148 845922685 1015107222 1522660833 1691845370 2030214444 2537768055 3045321666 3383690740 5075536110 6090643332 7613304165 10151072220 15226608330 30453216660