Search a number
-
+
30998495232 = 2153517229
BaseRepresentation
bin11100110111101001…
…111000000000000000
32222000100010201100000
4130313221320000000
51001441103321412
622123541200000
72145112601445
oct346751700000
988010121300
1030998495232
111216792a301
126011400000
132c001c6393
141700cc39cc
15c1660e4dc
hex737a78000

30998495232 has 384 divisors, whose sum is σ = 98758623600. Its totient is φ = 9682550784.

The previous prime is 30998495221. The next prime is 30998495237. The reversal of 30998495232 is 23259489903.

30998495232 is a `hidden beast` number, since 30 + 9 + 9 + 84 + 9 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30998495237) 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, 135364494 + ... + 135364722.

Almost surely, 230998495232 is an apocalyptic number.

30998495232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30998495232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49379311800).

30998495232 is an abundant number, since it is smaller than the sum of its proper divisors (67760128368).

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

30998495232 is an frugal number, since it uses more digits than its factorization.

30998495232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 30998495232 in words is "thirty billion, nine hundred ninety-eight million, four hundred ninety-five thousand, two hundred thirty-two".