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30296150928 = 24331494331087
BaseRepresentation
bin11100001101110010…
…101001001110010000
32220012101112221002000
4130031302221032100
5444021303312203
621530131354000
72121524014431
oct341562511620
986171487060
1030296150928
111193742966a
125a56152900
132b1a845c34
1416758d9488
15bc4b274a3
hex70dca9390

30296150928 has 160 divisors (see below), whose sum is σ = 87827712000. Its totient is φ = 9998567424.

The previous prime is 30296150909. The next prime is 30296150947. The reversal of 30296150928 is 82905169203.

30296150928 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 615 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (30296150909) and next prime (30296150947).

It is a super-2 number, since 2×302961509282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27870801 + ... + 27871887.

It is an arithmetic number, because the mean of its divisors is an integer number (548923200).

Almost surely, 230296150928 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 30296150928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43913856000).

30296150928 is an abundant number, since it is smaller than the sum of its proper divisors (57531561072).

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

30296150928 is a wasteful number, since it uses less digits than its factorization.

30296150928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 30296150928 in words is "thirty billion, two hundred ninety-six million, one hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 433 447 596 866 894 1087 1192 1299 1341 1732 1788 2174 2384 2598 2682 3261 3464 3576 3897 4023 4348 5196 5364 6522 6928 7152 7794 8046 8696 9783 10392 10728 11691 13044 15588 16092 17392 19566 20784 21456 23382 26088 29349 31176 32184 39132 46764 52176 58698 62352 64368 64517 78264 93528 117396 129034 156528 161963 187056 193551 234792 258068 323926 387102 469584 470671 485889 516136 580653 647852 774204 941342 971778 1032272 1161306 1295704 1412013 1457667 1548408 1741959 1882684 1943556 2322612 2591408 2824026 2915334 3096816 3483918 3765368 3887112 4236039 4373001 4645224 5648052 5830668 6967836 7530736 7774224 8472078 8746002 9290448 11296104 11661336 12708117 13935672 16944156 17492004 22592208 23322672 25416234 27871344 33888312 34984008 50832468 67776624 69968016 70129979 101664936 140259958 203329872 210389937 280519916 420779874 561039832 631169811 841559748 1122079664 1262339622 1683119496 1893509433 2524679244 3366238992 3787018866 5049358488 7574037732 10098716976 15148075464 30296150928