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40472649000 = 2333537214141
BaseRepresentation
bin100101101100010110…
…111001110100101000
310212110121102121001000
4211230112321310220
51130341444232000
630332021155000
72631643561140
oct455426716450
9125417377030
1040472649000
1116189834253
127a1625ba60
133a7cc7c324
141d5d283920
1510bd24b000
hex96c5b9d28

40472649000 has 256 divisors, whose sum is σ = 160349529600. Its totient is φ = 9250848000.

The previous prime is 40472648933. The next prime is 40472649083. The reversal of 40472649000 is 94627404.

40472649000 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 2 + 649 + 0 + 0 + 0 = 666.

40472649000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81930 + ... + 296070.

It is an arithmetic number, because the mean of its divisors is an integer number (626365350).

Almost surely, 240472649000 is an apocalyptic number.

40472649000 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 40472649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80174764800).

40472649000 is an abundant number, since it is smaller than the sum of its proper divisors (119876880600).

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

40472649000 is a wasteful number, since it uses less digits than its factorization.

40472649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214178 (or 214158 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40472649000 in words is "forty billion, four hundred seventy-two million, six hundred forty-nine thousand".