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155748478080 = 2735131923109131
BaseRepresentation
bin1001000100001101010…
…1010010110010000000
3112220000101020110100010
42101003111102302000
510022433102244310
6155314434224520
714152410135366
oct2210325226200
9486011213303
10155748478080
1160063a56888
1226227a25140
13118c14c1b90
147777009636
1540b85d2320
hex2443552c80

155748478080 has 1024 divisors, whose sum is σ = 597155328000. Its totient is φ = 34159656960.

The previous prime is 155748478027. The next prime is 155748478087. The reversal of 155748478080 is 80874847551.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 155748478080.

It is not an unprimeable number, because it can be changed into a prime (155748478087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1188919615 + ... + 1188919745.

It is an arithmetic number, because the mean of its divisors is an integer number (583159500).

Almost surely, 2155748478080 is an apocalyptic number.

155748478080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155748478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298577664000).

155748478080 is an abundant number, since it is smaller than the sum of its proper divisors (441406849920).

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

155748478080 is a wasteful number, since it uses less digits than its factorization.

155748478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 57.

The spelling of 155748478080 in words is "one hundred fifty-five billion, seven hundred forty-eight million, four hundred seventy-eight thousand, eighty".