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72553414932 = 223574643431
BaseRepresentation
bin100001110010010000…
…1010100000100010100
320221021101001100200000
41003210201110010110
52142042133234212
653155223251300
75145640565025
oct1034441240424
9227241040600
1072553414932
1128851569549
1212089ba9b30
136ac345966b
143723bacc4c
151d4988d1dc
hex10e4854114

72553414932 has 36 divisors (see below), whose sum is σ = 190191464736. Its totient is φ = 24184471320.

The previous prime is 72553414931. The next prime is 72553414937. The reversal of 72553414932 is 23941435527.

It is a happy number.

72553414932 is a `hidden beast` number, since 7 + 2 + 553 + 4 + 1 + 4 + 93 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72553414931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37320744 + ... + 37322687.

Almost surely, 272553414932 is an apocalyptic number.

It is an amenable number.

72553414932 is an abundant number, since it is smaller than the sum of its proper divisors (117638049804).

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

72553414932 is a wasteful number, since it uses less digits than its factorization.

72553414932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74643450 (or 74643436 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 72553414932 in words is "seventy-two billion, five hundred fifty-three million, four hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 74643431 149286862 223930293 298573724 447860586 671790879 895721172 1343581758 2015372637 2687163516 4030745274 6046117911 8061490548 12092235822 18138353733 24184471644 36276707466 72553414932