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47427290145 = 32525710393947
BaseRepresentation
bin101100001010111000…
…110000010000100001
311112102021210222011200
4230022320300100201
51234112341241040
633442055231413
73266202212634
oct541270602041
9145367728150
1047427290145
1119128518064
129237378569
13461aa634c1
14241cb93c1b
151378aa5630
hexb0ae30421

47427290145 has 48 divisors (see below), whose sum is σ = 82627534080. Its totient is φ = 25165504512.

The previous prime is 47427290137. The next prime is 47427290147. The reversal of 47427290145 is 54109272474.

It is not a de Polignac number, because 47427290145 - 23 = 47427290137 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47427290145.

It is not an unprimeable number, because it can be changed into a prime (47427290147) 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 47 ways as a sum of consecutive naturals, for example, 12014062 + ... + 12018008.

It is an arithmetic number, because the mean of its divisors is an integer number (1721406960).

Almost surely, 247427290145 is an apocalyptic number.

47427290145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47427290145 is a deficient number, since it is larger than the sum of its proper divisors (35200243935).

47427290145 is a wasteful number, since it uses less digits than its factorization.

47427290145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47427290145 in words is "forty-seven billion, four hundred twenty-seven million, two hundred ninety thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 257 771 1039 1285 2313 3117 3855 3947 5195 9351 11565 11841 15585 19735 35523 46755 59205 177615 267023 801069 1014379 1335115 2403207 3043137 4005345 4100933 5071895 9129411 12016035 12302799 15215685 20504665 36908397 45647055 61513995 184541985 1053939781 3161819343 5269698905 9485458029 15809096715 47427290145