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72936090456 = 2333782135237
BaseRepresentation
bin100001111101101010…
…1000110101101011000
320222021001010021210120
41003323111012231120
52143333114343311
653301213313240
75161265353065
oct1037325065530
9228231107716
1072936090456
1128a28581309
1212176195820
136b54813598
14375c943c6c
151d6d27d706
hex10fb546b58

72936090456 has 32 divisors (see below), whose sum is σ = 187268342640. Its totient is φ = 23654947968.

The previous prime is 72936090443. The next prime is 72936090473. The reversal of 72936090456 is 65409063927.

It is a junction number, because it is equal to n+sod(n) for n = 72936090399 and 72936090408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41066731 + ... + 41068506.

Almost surely, 272936090456 is an apocalyptic number.

It is an amenable number.

72936090456 is an abundant number, since it is smaller than the sum of its proper divisors (114332252184).

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

72936090456 is a wasteful number, since it uses less digits than its factorization.

72936090456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82135283 (or 82135279 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 72936090456 in words is "seventy-two billion, nine hundred thirty-six million, ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 82135237 164270474 246405711 328540948 492811422 657081896 985622844 1971245688 3039003769 6078007538 9117011307 12156015076 18234022614 24312030152 36468045228 72936090456