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38055546450 = 23252503168127
BaseRepresentation
bin100011011100010010…
…011000111001010010
310122020011020001200100
4203130102120321102
51110414204441300
625252114233230
72515023544005
oct433422307122
9118204201610
1038055546450
1115159400339
127460885816
13378628602c
141bb025153c
15ecae47700
hex8dc498e52

38055546450 has 72 divisors (see below), whose sum is σ = 102446443008. Its totient is φ = 10127910240.

The previous prime is 38055546449. The next prime is 38055546497. The reversal of 38055546450 is 5464555083.

38055546450 is a `hidden beast` number, since 3 + 8 + 0 + 55 + 546 + 4 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 38055546396 and 38055546405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142287 + ... + 310413.

It is an arithmetic number, because the mean of its divisors is an integer number (1422867264).

Almost surely, 238055546450 is an apocalyptic number.

38055546450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38055546450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51223221504).

38055546450 is an abundant number, since it is smaller than the sum of its proper divisors (64390896558).

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

38055546450 is a wasteful number, since it uses less digits than its factorization.

38055546450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168648 (or 168640 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 38055546450 in words is "thirty-eight billion, fifty-five million, five hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 503 1006 1509 2515 3018 4527 5030 7545 9054 12575 15090 22635 25150 37725 45270 75450 113175 168127 226350 336254 504381 840635 1008762 1513143 1681270 2521905 3026286 4203175 5043810 7565715 8406350 12609525 15131430 25219050 37828575 75657150 84567881 169135762 253703643 422839405 507407286 761110929 845678810 1268518215 1522221858 2114197025 2537036430 3805554645 4228394050 6342591075 7611109290 12685182150 19027773225 38055546450