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133470393840 = 243657326941
BaseRepresentation
bin111110001001101110…
…1001001010111110000
3110202111210002112000000
41330103131021113300
54141321410100330
6141152045430000
712433343425440
oct1742335112760
9422453075000
10133470393840
1151671615413
1221a4ab6b300
13c780b76504
14666235c120
153712873560
hex1f137495f0

133470393840 has 280 divisors, whose sum is σ = 531733237728. Its totient is φ = 30507425280.

The previous prime is 133470393827. The next prime is 133470393851. The reversal of 133470393840 is 48393074331.

It is a happy number.

133470393840 is a `hidden beast` number, since 13 + 3 + 470 + 3 + 93 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 244770 + ... + 571710.

Almost surely, 2133470393840 is an apocalyptic number.

133470393840 is a gapful number since it is divisible by the number (10) 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 133470393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265866618864).

133470393840 is an abundant number, since it is smaller than the sum of its proper divisors (398262843888).

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

133470393840 is an equidigital number, since it uses as much as digits as its factorization.

133470393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326979 (or 326958 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133470393840 in words is "one hundred thirty-three billion, four hundred seventy million, three hundred ninety-three thousand, eight hundred forty".