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54735002296 = 23134173175843
BaseRepresentation
bin110010111110011101…
…011101101010111000
312020021120120012200021
4302332131131222320
51344044130033141
641051145020224
73645245562112
oct627635355270
9166246505607
1054735002296
1121238533397
12a736784674
135213a37630
1429135303b2
1516554036d1
hexcbe75dab8

54735002296 has 64 divisors (see below), whose sum is σ = 114769861920. Its totient is φ = 24308398080.

The previous prime is 54735002293. The next prime is 54735002303. The reversal of 54735002296 is 69220053745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54735002291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223351 + ... + 399193.

Almost surely, 254735002296 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 54735002296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57384930960).

54735002296 is an abundant number, since it is smaller than the sum of its proper divisors (60034859624).

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

54735002296 is a wasteful number, since it uses less digits than its factorization.

54735002296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175976 (or 175972 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 54735002296 in words is "fifty-four billion, seven hundred thirty-five million, two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 292 328 533 584 949 1066 1898 2132 2993 3796 4264 5986 7592 11972 23944 38909 77818 155636 175843 311272 351686 703372 1406744 2285959 4571918 7209563 9143836 12836539 14419126 18287672 25673078 28838252 51346156 57676504 93724319 102692312 166875007 187448638 333750014 374897276 526298099 667500028 749794552 1052596198 1335000056 2105192396 4210384792 6841875287 13683750574 27367501148 54735002296