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145708455690 = 233573767137227
BaseRepresentation
bin1000011110110011100…
…1101001011100001010
3111221002200011110211000
42013230321221130022
54341402331040230
6150534301515430
713345535303160
oct2075471513412
9457080143730
10145708455690
1156881696416
12242a5572b76
1310981430925
1470a3829230
153bcbe6ab60
hex21ece6970a

145708455690 has 512 divisors, whose sum is σ = 468305141760. Its totient is φ = 31548413952.

The previous prime is 145708455671. The next prime is 145708455713. The reversal of 145708455690 is 96554807541.

It is a happy number.

145708455690 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 0 + 84 + 556 + 9 + 0 = 666.

145708455690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1457084556902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 641887357 + ... + 641887583.

It is an arithmetic number, because the mean of its divisors is an integer number (914658480).

Almost surely, 2145708455690 is an apocalyptic number.

145708455690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145708455690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234152570880).

145708455690 is an abundant number, since it is smaller than the sum of its proper divisors (322596686070).

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

145708455690 is a wasteful number, since it uses less digits than its factorization.

145708455690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 145708455690 in words is "one hundred forty-five billion, seven hundred eight million, four hundred fifty-five thousand, six hundred ninety".