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47794594256640 = 28325711371456243
BaseRepresentation
bin10101101111000000010111…
…10100000001011100000000
320021020010012110011111212100
422313200023310001130000
522231031312112203030
6245352311122230400
713032021413046240
oct1267401364013400
9207203173144770
1047794594256640
1114257634501110
12543aab4ab5400
13208901ac3b33a
14bb33b0b57b20
1557d3a8d5b360
hex2b780bd01700

47794594256640 has 864 divisors, whose sum is σ = 211740766788096. Its totient is φ = 9662922915840.

The previous prime is 47794594256627. The next prime is 47794594256671. The reversal of 47794594256640 is 4665249549774.

47794594256640 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 4 + 59 + 4 + 2 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32092359 + ... + 33548601.

Almost surely, 247794594256640 is an apocalyptic number.

47794594256640 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 47794594256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105870383394048).

47794594256640 is an abundant number, since it is smaller than the sum of its proper divisors (163946172531456).

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

47794594256640 is a wasteful number, since it uses less digits than its factorization.

47794594256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456325 (or 1456308 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 47794594256640 in words is "forty-seven trillion, seven hundred ninety-four billion, five hundred ninety-four million, two hundred fifty-six thousand, six hundred forty".