Search a number
-
+
20153723261 = 717619273601
BaseRepresentation
bin10010110001010000…
…010110100101111101
31221000112210012220212
4102301100112211331
5312233323121021
613131500122205
71312266551450
oct226120264575
957015705825
1020153723261
118602284641
123aa5536365
131b924ab449
14d9289d497
157ce4d385b
hex4b141697d

20153723261 has 16 divisors (see below), whose sum is σ = 24427186560. Its totient is φ = 16232140800.

The previous prime is 20153723243. The next prime is 20153723279. The reversal of 20153723261 is 16232735102.

It is an interprime number because it is at equal distance from previous prime (20153723243) and next prime (20153723279).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20153723261 is a prime.

It is a super-2 number, since 2×201537232612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153723561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63140 + ... + 210461.

It is an arithmetic number, because the mean of its divisors is an integer number (1526699160).

Almost surely, 220153723261 is an apocalyptic number.

It is an amenable number.

20153723261 is a deficient number, since it is larger than the sum of its proper divisors (4273463299).

20153723261 is a wasteful number, since it uses less digits than its factorization.

20153723261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274244.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 20153723261 in words is "twenty billion, one hundred fifty-three million, seven hundred twenty-three thousand, two hundred sixty-one".

Divisors: 1 7 17 119 619 4333 10523 73661 273601 1915207 4651217 32558519 169359019 1185513133 2879103323 20153723261