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30215183664 = 24331127281569
BaseRepresentation
bin11100001000111101…
…110001110100110000
32212222202012100212110
4130020331301310300
5443340041334124
621514120125320
72116521552321
oct341075616460
985882170773
1030215183664
11118a5757776
125a33006840
132b06b37503
141668c60448
15bbc982029
hex708f71d30

30215183664 has 160 divisors (see below), whose sum is σ = 81640488960. Its totient is φ = 9618739200.

The previous prime is 30215183639. The next prime is 30215183671. The reversal of 30215183664 is 46638151203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53101972 + ... + 53102540.

It is an arithmetic number, because the mean of its divisors is an integer number (510253056).

Almost surely, 230215183664 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 30215183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40820244480).

30215183664 is an abundant number, since it is smaller than the sum of its proper divisors (51425305296).

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

30215183664 is a wasteful number, since it uses less digits than its factorization.

30215183664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 30215183664 in words is "thirty billion, two hundred fifteen million, one hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 248 254 281 372 381 496 508 562 569 744 762 843 1016 1124 1138 1488 1524 1686 1707 2032 2248 2276 3048 3372 3414 3937 4496 4552 6096 6744 6828 7874 8711 9104 11811 13488 13656 15748 17422 17639 23622 26133 27312 31496 34844 35278 35687 47244 52266 52917 62992 69688 70556 71374 72263 94488 104532 105834 107061 139376 141112 142748 144526 159889 188976 209064 211668 214122 216789 282224 285496 289052 319778 418128 423336 428244 433578 479667 570992 578104 639556 846672 856488 867156 959334 1106297 1156208 1279112 1712976 1734312 1918668 2212594 2240153 2558224 3318891 3468624 3837336 4425188 4480306 4956559 6637782 6720459 7674672 8850376 8960612 9913118 13275564 13440918 14869677 17700752 17921224 19826236 20305903 26551128 26881836 29739354 35842448 39652472 40611806 53102256 53763672 59478708 60917709 79304944 81223612 107527344 118957416 121835418 162447224 237914832 243670836 324894448 487341672 629482993 974683344 1258965986 1888448979 2517931972 3776897958 5035863944 7553795916 10071727888 15107591832 30215183664