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47889759141000 = 233353719157173491
BaseRepresentation
bin10101110001110001101000…
…00101001111110010001000
320021120012211122200112101000
422320320310011033302020
522234111211320003000
6245504130204055000
713041630606161550
oct1270706405176210
9207505748615330
1047889759141000
1114293a29608277
125455433534460
132094ca5accbba
14bb7c3b998160
15580ac885e000
hex2b8e3414fc88

47889759141000 has 2048 divisors, whose sum is σ = 202566334464000. Its totient is φ = 10223635968000.

The previous prime is 47889759140989. The next prime is 47889759141053. The reversal of 47889759141000 is 14195798874.

47889759141000 is a `hidden beast` number, since 4 + 7 + 88 + 97 + 59 + 1 + 410 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 97535150755 + ... + 97535151245.

It is an arithmetic number, because the mean of its divisors is an integer number (98909343000).

Almost surely, 247889759141000 is an apocalyptic number.

47889759141000 is a gapful number since it is divisible by the number (40) 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 47889759141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101283167232000).

47889759141000 is an abundant number, since it is smaller than the sum of its proper divisors (154676575323000).

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

47889759141000 is a wasteful number, since it uses less digits than its factorization.

47889759141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 47889759141000 in words is "forty-seven trillion, eight hundred eighty-nine billion, seven hundred fifty-nine million, one hundred forty-one thousand".