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45653193948 = 223239710715937
BaseRepresentation
bin101010100001001001…
…000111010011011100
311100211122112112201010
4222201021013103130
51221444204201243
632550042215220
73204220513545
oct524111072334
9140748475633
1045653193948
11183a804635a
128a211b4510
1343c7342b3b
1422d13014cc
1512c2e67433
hexaa12474dc

45653193948 has 96 divisors (see below), whose sum is σ = 113358196224. Its totient is φ = 14270496768.

The previous prime is 45653193941. The next prime is 45653194021. The reversal of 45653193948 is 84939135654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45653193941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2856636 + ... + 2872572.

It is an arithmetic number, because the mean of its divisors is an integer number (1180814544).

Almost surely, 245653193948 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 45653193948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56679098112).

45653193948 is an abundant number, since it is smaller than the sum of its proper divisors (67705002276).

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

45653193948 is a wasteful number, since it uses less digits than its factorization.

45653193948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16171 (or 16169 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The spelling of 45653193948 in words is "forty-five billion, six hundred fifty-three million, one hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 107 138 194 214 276 291 321 388 428 582 642 1164 1284 2231 2461 4462 4922 6693 7383 8924 9844 10379 13386 14766 15937 20758 26772 29532 31137 31874 41516 47811 62274 63748 95622 124548 191244 238717 366551 477434 716151 733102 954868 1099653 1432302 1466204 1545889 1705259 2199306 2864604 3091778 3410518 4398612 4637667 5115777 6183556 6821036 9275334 10231554 18550668 20463108 35555447 39220957 71110894 78441914 106666341 117662871 142221788 156883828 165410123 213332682 235325742 330820246 426665364 470651484 496230369 661640492 992460738 1984921476 3804432829 7608865658 11413298487 15217731316 22826596974 45653193948