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72936800148 = 2236078066679
BaseRepresentation
bin100001111101101011…
…1110011111110010100
320222021002110100022110
41003323113303332110
52143333310101043
653301240431020
75161304400132
oct1037327637624
9228232410273
1072936800148
1128a28a16533
1212176478470
136b54a01614
14375ca8a752
151d6d36db33
hex10fb5f3f94

72936800148 has 12 divisors (see below), whose sum is σ = 170185867040. Its totient is φ = 24312266712.

The previous prime is 72936800099. The next prime is 72936800179. The reversal of 72936800148 is 84100863927.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 72936800097 and 72936800106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3039033328 + ... + 3039033351.

Almost surely, 272936800148 is an apocalyptic number.

It is an amenable number.

72936800148 is an abundant number, since it is smaller than the sum of its proper divisors (97249066892).

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

72936800148 is a wasteful number, since it uses less digits than its factorization.

72936800148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078066686 (or 6078066684 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 72936800148 in words is "seventy-two billion, nine hundred thirty-six million, eight hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 6078066679 12156133358 18234200037 24312266716 36468400074 72936800148