Search a number
-
+
30293042976 = 2532715026311
BaseRepresentation
bin11100001101100110…
…110010011100100000
32220012011201000202200
4130031212302130200
5444020004333401
621525541013200
72121455421360
oct341546623440
986164630680
1030293042976
11119356a6609
125a550b4200
132b19cc8401
14167532a9a0
15bc4711686
hex70d9b2720

30293042976 has 72 divisors (see below), whose sum is σ = 98452396224. Its totient is φ = 8655154560.

The previous prime is 30293042971. The next prime is 30293043007. The reversal of 30293042976 is 67924039203.

30293042976 is a `hidden beast` number, since 30 + 29 + 304 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (30293042971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7511140 + ... + 7515171.

It is an arithmetic number, because the mean of its divisors is an integer number (1367394392).

Almost surely, 230293042976 is an apocalyptic number.

30293042976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30293042976 is an abundant number, since it is smaller than the sum of its proper divisors (68159353248).

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

30293042976 is a wasteful number, since it uses less digits than its factorization.

30293042976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026334 (or 15026323 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 30293042976 in words is "thirty billion, two hundred ninety-three million, forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 15026311 30052622 45078933 60105244 90157866 105184177 120210488 135236799 180315732 210368354 240420976 270473598 315552531 360631464 420736708 480841952 540947196 631105062 721262928 841473416 946657593 1081894392 1262210124 1442525856 1682946832 1893315186 2163788784 2524420248 3365893664 3786630372 4327577568 5048840496 7573260744 10097680992 15146521488 30293042976