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153733783921 = 372105972
BaseRepresentation
bin1000111100101100111…
…1110110000101110001
3112200210222020101111221
42033023033312011301
510004321322041141
6154342504305041
714051444413444
oct2171317660561
9480728211457
10153733783921
115a21a793293
1225965172181
131165cca1463
14762560765b
153eeb7babd1
hex23cb3f6171

153733783921 has 9 divisors (see below), whose sum is σ = 158015958849. Its totient is φ = 149564701584.

The previous prime is 153733783909. The next prime is 153733783961. The reversal of 153733783921 is 129387337351.

It is a happy number.

The square root of 153733783921 is 392089.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3500023921 + 150233760000 = 59161^2 + 387600^2 .

It is not a de Polignac number, because 153733783921 - 213 = 153733775729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153733783901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14501995 + ... + 14512591.

It is an arithmetic number, because the mean of its divisors is an integer number (17557328761).

Almost surely, 2153733783921 is an apocalyptic number.

153733783921 is the 392089-th square number.

153733783921 is the 196045-th centered octagonal number.

It is an amenable number.

153733783921 is a deficient number, since it is larger than the sum of its proper divisors (4282174928).

153733783921 is an frugal number, since it uses more digits than its factorization.

153733783921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268 (or 10634 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The spelling of 153733783921 in words is "one hundred fifty-three billion, seven hundred thirty-three million, seven hundred eighty-three thousand, nine hundred twenty-one".

Divisors: 1 37 1369 10597 392089 14507293 112296409 4154967133 153733783921