Search a number
-
+
72453431232 = 2633713223267
BaseRepresentation
bin100001101111010001…
…1111001111111000000
320221000101220122211000
41003132203321333000
52141341034244412
653141252252000
75143315001250
oct1033643717700
9227011818730
1072453431232
1128800089296
1212060611000
136aa8820400
1437147c3960
151d40bdd4dc
hex10de8f9fc0

72453431232 has 1008 divisors, whose sum is σ = 279665460480. Its totient is φ = 18004985856.

The previous prime is 72453431221. The next prime is 72453431257. The reversal of 72453431232 is 23213435427.

72453431232 is a `hidden beast` number, since 72 + 4 + 534 + 31 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1081394463 + ... + 1081394529.

Almost surely, 272453431232 is an apocalyptic number.

72453431232 is a gapful number since it is divisible by the number (72) 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 72453431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139832730240).

72453431232 is an abundant number, since it is smaller than the sum of its proper divisors (207212029248).

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

72453431232 is a wasteful number, since it uses less digits than its factorization.

72453431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

Adding to 72453431232 its reverse (23213435427), we get a palindrome (95666866659).

The spelling of 72453431232 in words is "seventy-two billion, four hundred fifty-three million, four hundred thirty-one thousand, two hundred thirty-two".