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153939232836 = 223479276129
BaseRepresentation
bin1000111101011101111…
…1100100100001000100
3112201100021211021110000
42033113133210201010
510010231420422321
6154415124001300
714056520614044
oct2172737444104
9481307737400
10153939232836
115a315758084
1225a01b30230
131169371596c
147644a07724
15400e84e826
hex23d77e4844

153939232836 has 90 divisors (see below), whose sum is σ = 407591417310. Its totient is φ = 50662879488.

The previous prime is 153939232781. The next prime is 153939232849. The reversal of 153939232836 is 638232939351.

153939232836 is a `hidden beast` number, since 1 + 539 + 3 + 9 + 23 + 2 + 83 + 6 = 666.

153939232836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 150703898436 + 3235334400 = 388206^2 + 56880^2 .

It is a super-2 number, since 2×1539392328362 (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 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 29 ways as a sum of consecutive naturals, for example, 1984020 + ... + 2060148.

Almost surely, 2153939232836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153939232836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203795708655).

153939232836 is an abundant number, since it is smaller than the sum of its proper divisors (253652184474).

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

153939232836 is an equidigital number, since it uses as much as digits as its factorization.

153939232836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76303 (or 76213 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 153939232836 in words is "one hundred fifty-three billion, nine hundred thirty-nine million, two hundred thirty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 6241 6399 8532 12482 12798 18723 24964 25596 37446 56169 74892 76129 112338 152258 168507 224676 228387 304516 337014 456774 505521 674028 685161 913548 1011042 1370322 2022084 2055483 2740644 4110966 6014191 6166449 8221932 12028382 12332898 18042573 24056764 24665796 36085146 54127719 72170292 108255438 162383157 216510876 324766314 475121089 487149471 649532628 950242178 974298942 1425363267 1900484356 1948597884 2850726534 4276089801 5701453068 8552179602 12828269403 17104359204 25656538806 38484808209 51313077612 76969616418 153939232836