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145645404660 = 2232573119312
BaseRepresentation
bin1000011110100100100…
…1001000000111110100
3111220221021112011001200
42013221021020013310
54341240210422120
6150524130252500
713344141341010
oct2075111100764
9456837464050
10145645404660
115684a041228
1224288427130
1310971356022
1470992d5540
153bc6663e90
hex21e92481f4

145645404660 has 216 divisors, whose sum is σ = 521461344768. Its totient is φ = 32199811200.

The previous prime is 145645404637. The next prime is 145645404701. The reversal of 145645404660 is 66404546541.

145645404660 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 4 + 540 + 46 + 60 = 666.

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 71 ways as a sum of consecutive naturals, for example, 75423895 + ... + 75425825.

Almost surely, 2145645404660 is an apocalyptic number.

145645404660 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 145645404660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260730672384).

145645404660 is an abundant number, since it is smaller than the sum of its proper divisors (375815940108).

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

145645404660 is a wasteful number, since it uses less digits than its factorization.

145645404660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 145645404660 in words is "one hundred forty-five billion, six hundred forty-five million, four hundred four thousand, six hundred sixty".