Search a number
-
+
72326679480 = 2332511891631259
BaseRepresentation
bin100001101011100000…
…0011000101110111000
320220200120102000002200
41003113000120232320
52141111112220410
653120523430200
75140215426516
oct1032700305670
9226616360080
1072326679480
1128745585880
1212026085360
136a884a1283
143701a2b4b6
151d34a023c0
hex10d7018bb8

72326679480 has 384 divisors, whose sum is σ = 261110304000. Its totient is φ = 17216686080.

The previous prime is 72326679433. The next prime is 72326679527. The reversal of 72326679480 is 8497662327.

72326679480 is a `hidden beast` number, since 7 + 2 + 32 + 66 + 79 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (72326679433) and next prime (72326679527).

It is a super-2 number, since 2×723266794802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57447091 + ... + 57448349.

It is an arithmetic number, because the mean of its divisors is an integer number (679974750).

Almost surely, 272326679480 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 72326679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130555152000).

72326679480 is an abundant number, since it is smaller than the sum of its proper divisors (188783624520).

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

72326679480 is a wasteful number, since it uses less digits than its factorization.

72326679480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72326679480 in words is "seventy-two billion, three hundred twenty-six million, six hundred seventy-nine thousand, four hundred eighty".