Search a number
-
+
30874531752 = 2333208168687
BaseRepresentation
bin11100110000010000…
…111111011110101000
32221200200212201102000
4130300100333132220
51001212340004002
622103352211000
72142046122051
oct346020773650
987620781360
1030874531752
1112103960749
125b97999a60
132bb06123cc
1416cc655728
15c0a7c461c
hex73043f7a8

30874531752 has 64 divisors (see below), whose sum is σ = 85805049600. Its totient is φ = 10286415360.

The previous prime is 30874531717. The next prime is 30874531771. The reversal of 30874531752 is 25713547803.

30874531752 is a `hidden beast` number, since 30 + 87 + 4 + 531 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30874531698 and 30874531707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415153 + ... + 483839.

It is an arithmetic number, because the mean of its divisors is an integer number (1340703900).

Almost surely, 230874531752 is an apocalyptic number.

It is an amenable number.

30874531752 is an abundant number, since it is smaller than the sum of its proper divisors (54930517848).

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

30874531752 is a wasteful number, since it uses less digits than its factorization.

30874531752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70783 (or 70773 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 30874531752 in words is "thirty billion, eight hundred seventy-four million, five hundred thirty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2081 4162 6243 8324 12486 16648 18729 24972 37458 49944 56187 68687 74916 112374 137374 149832 206061 224748 274748 412122 449496 549496 618183 824244 1236366 1648488 1854549 2472732 3709098 4945464 7418196 14836392 142937647 285875294 428812941 571750588 857625882 1143501176 1286438823 1715251764 2572877646 3430503528 3859316469 5145755292 7718632938 10291510584 15437265876 30874531752