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214006773960 = 233257431974961
BaseRepresentation
bin1100011101001111001…
…1000011100011001000
3202110101111111112012100
43013103303003203020
512001241213231320
6242151403513400
721314200364460
oct3072363034310
9673344445170
10214006773960
118283a276851
1235586528860
13172471603c5
14a50243cba0
155877e94790
hex31d3cc38c8

214006773960 has 192 divisors, whose sum is σ = 813368350080. Its totient is φ = 47778232320.

The previous prime is 214006773949. The next prime is 214006773979. The reversal of 214006773960 is 69377600412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879121 + ... + 1095840.

It is an arithmetic number, because the mean of its divisors is an integer number (4236293490).

Almost surely, 2214006773960 is an apocalyptic number.

214006773960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214006773960 is an abundant number, since it is smaller than the sum of its proper divisors (599361576120).

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

214006773960 is a wasteful number, since it uses less digits than its factorization.

214006773960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975028 (or 1975021 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 214006773960 in words is "two hundred fourteen billion, six million, seven hundred seventy-three thousand, nine hundred sixty".