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72239206970 = 2572147426953
BaseRepresentation
bin100001101000111001…
…0101101001000111010
320220110110210221101002
41003101302231020322
52140421214110340
653104120525002
75135104061600
oct1032162551072
9226413727332
1072239206970
1128700170447
1212000920762
136a733258a8
1436d417b870
151d2bec4715
hex10d1cad23a

72239206970 has 24 divisors (see below), whose sum is σ = 151260054804. Its totient is φ = 24767727936.

The previous prime is 72239206961. The next prime is 72239206979. The reversal of 72239206970 is 7960293227.

It is an interprime number because it is at equal distance from previous prime (72239206961) and next prime (72239206979).

It can be written as a sum of positive squares in 2 ways, for example, as 70595958601 + 1643248369 = 265699^2 + 40537^2 .

It is not an unprimeable number, because it can be changed into a prime (72239206979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73712987 + ... + 73713966.

Almost surely, 272239206970 is an apocalyptic number.

72239206970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72239206970 is an abundant number, since it is smaller than the sum of its proper divisors (79020847834).

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

72239206970 is a wasteful number, since it uses less digits than its factorization.

72239206970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147426974 (or 147426967 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 47.

The spelling of 72239206970 in words is "seventy-two billion, two hundred thirty-nine million, two hundred six thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 147426953 294853906 737134765 1031988671 1474269530 2063977342 5159943355 7223920697 10319886710 14447841394 36119603485 72239206970