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30319864008 = 23372937168197
BaseRepresentation
bin11100001111001101…
…000110100011001000
32220021001011200022020
4130033031012203020
5444043341122013
621532335524440
72122232406660
oct341715064310
986231150266
1030319864008
1111949855655
125a62089720
132b22729445
141678b0d1a0
15bc6c5d623
hex70f3468c8

30319864008 has 128 divisors (see below), whose sum is σ = 92037945600. Its totient is φ = 8137995264.

The previous prime is 30319863989. The next prime is 30319864009. The reversal of 30319864008 is 80046891303.

It is a happy number.

It is a super-2 number, since 2×303198640082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30319864009) 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, 96166 + ... + 264362.

It is an arithmetic number, because the mean of its divisors is an integer number (719046450).

Almost surely, 230319864008 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 30319864008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46018972800).

30319864008 is an abundant number, since it is smaller than the sum of its proper divisors (61718081592).

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

30319864008 is a wasteful number, since it uses less digits than its factorization.

30319864008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168279 (or 168275 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 30319864008 in words is "thirty billion, three hundred nineteen million, eight hundred sixty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 518 609 696 777 812 888 1036 1073 1218 1554 1624 2072 2146 2436 3108 3219 4292 4872 6216 6438 7511 8584 12876 15022 22533 25752 30044 45066 60088 90132 168197 180264 336394 504591 672788 1009182 1177379 1345576 2018364 2354758 3532137 4036728 4709516 4877713 6223289 7064274 9419032 9755426 12446578 14128548 14633139 18669867 19510852 24893156 28257096 29266278 34143991 37339734 39021704 43563023 49786312 58532556 68287982 74679468 87126046 102431973 117065112 130689069 136575964 149358936 174252092 180475381 204863946 261378138 273151928 348504184 360950762 409727892 522756276 541426143 721901524 819455784 1045512552 1082852286 1263327667 1443803048 2165704572 2526655334 3789983001 4331409144 5053310668 7579966002 10106621336 15159932004 30319864008