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153966389130 = 23255345837043
BaseRepresentation
bin1000111101100100011…
…1001010011110001010
3112201102011220221212200
42033121013022132022
510010310343423010
6154421534021030
714060300466651
oct2173107123612
9481364827780
10153966389130
115a32a015aa4
1225a0b047776
1311699233488
147648476198
154011e15cc0
hex23d91ca78a

153966389130 has 96 divisors (see below), whose sum is σ = 408012598656. Its totient is φ = 40268522112.

The previous prime is 153966389107. The next prime is 153966389149. The reversal of 153966389130 is 31983669351.

153966389130 is a `hidden beast` number, since 1 + 539 + 66 + 38 + 9 + 13 + 0 = 666.

153966389130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 21857389 + ... + 21864431.

It is an arithmetic number, because the mean of its divisors is an integer number (4250131236).

Almost surely, 2153966389130 is an apocalyptic number.

153966389130 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 153966389130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204006299328).

153966389130 is an abundant number, since it is smaller than the sum of its proper divisors (254046209526).

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

153966389130 is a wasteful number, since it uses less digits than its factorization.

153966389130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 153966389130 in words is "one hundred fifty-three billion, nine hundred sixty-six million, three hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4583 4770 7043 9166 13749 14086 21129 22915 27498 35215 41247 42258 45830 63387 68745 70430 82494 105645 126774 137490 206235 211290 242899 316935 373279 412470 485798 633870 728697 746558 1119837 1214495 1457394 1866395 2186091 2239674 2428990 3359511 3643485 3732790 4372182 5599185 6719022 7286970 10930455 11198370 16797555 21860910 32278069 33595110 64556138 96834207 161390345 193668414 290502621 322780690 484171035 581005242 968342070 1452513105 1710737657 2905026210 3421475314 5132212971 8553688285 10264425942 15396638913 17107376570 25661064855 30793277826 51322129710 76983194565 153966389130