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30054980952 = 233217106123143
BaseRepresentation
bin11011111111011010…
…101001110101011000
32212120120202020001200
4123333122221311120
5443023033342302
621450154314200
72112535060113
oct337732516530
985516666050
1030054980952
1111823287037
1259a9428960
132aac8a56c9
14165187b57a
15bad88981c
hex6ff6a9d58

30054980952 has 96 divisors (see below), whose sum is σ = 86272037280. Its totient is φ = 9419719680.

The previous prime is 30054980947. The next prime is 30054980953. The reversal of 30054980952 is 25908945003.

It is a junction number, because it is equal to n+sod(n) for n = 30054980898 and 30054980907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30054980953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287093 + ... + 1310235.

It is an arithmetic number, because the mean of its divisors is an integer number (898667055).

Almost surely, 230054980952 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 30054980952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43136018640).

30054980952 is an abundant number, since it is smaller than the sum of its proper divisors (56217056328).

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

30054980952 is a wasteful number, since it uses less digits than its factorization.

30054980952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24233 (or 24226 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 300549 and 80952, that added together give a triangular number (381501 = T873).

The spelling of 30054980952 in words is "thirty billion, fifty-four million, nine hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1061 1224 2122 3183 4244 6366 8488 9549 12732 18037 19098 23143 25464 36074 38196 46286 54111 69429 72148 76392 92572 108222 138858 144296 162333 185144 208287 216444 277716 324666 393431 416574 432888 555432 649332 786862 833148 1180293 1298664 1573724 1666296 2360586 3147448 3540879 4721172 7081758 9442344 14163516 24554723 28327032 49109446 73664169 98218892 147328338 196437784 220992507 294656676 417430291 441985014 589313352 834860582 883970028 1252290873 1669721164 1767940056 2504581746 3339442328 3756872619 5009163492 7513745238 10018326984 15027490476 30054980952