Search a number
-
+
30980733552 = 2434162114747
BaseRepresentation
bin11100110110100110…
…000111101001110000
32221222002201022220000
4130312212013221300
51001422031433202
622122104350000
72144505614226
oct346646075160
987862638800
1030980733552
11121588a872a
126007475300
132bc9617a02
1416dc7bcb16
15c14ca191c
hex736987a70

30980733552 has 100 divisors (see below), whose sum is σ = 89728631256. Its totient is φ = 10319840640.

The previous prime is 30980733529. The next prime is 30980733569. The reversal of 30980733552 is 25533708903.

30980733552 is a `hidden beast` number, since 3 + 0 + 98 + 0 + 7 + 3 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30980733498 and 30980733507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2093443 + ... + 2108189.

Almost surely, 230980733552 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 30980733552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44864315628).

30980733552 is an abundant number, since it is smaller than the sum of its proper divisors (58747897704).

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

30980733552 is a wasteful number, since it uses less digits than its factorization.

30980733552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 30980733552 in words is "thirty billion, nine hundred eighty million, seven hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1621 3242 4863 6484 9726 12968 14589 14747 19452 25936 29178 29494 38904 43767 44241 58356 58988 77808 87534 88482 116712 117976 131301 132723 175068 176964 233424 235952 262602 265446 350136 353928 398169 525204 530892 700272 707856 796338 1050408 1061784 1194507 1592676 2100816 2123568 2389014 3185352 4778028 6370704 9556056 19112112 23904887 47809774 71714661 95619548 143429322 191239096 215143983 286858644 382478192 430287966 573717288 645431949 860575932 1147434576 1290863898 1721151864 1936295847 2581727796 3442303728 3872591694 5163455592 7745183388 10326911184 15490366776 30980733552