Search a number
-
+
153543160666112 = 211759359505657
BaseRepresentation
bin100010111010010110001101…
…100011001001100000000000
3202010122120201212100210102112
4202322112031203021200000
5130111122343112303422
61302320430525434452
744225061441406010
oct4272261543114000
9663576655323375
10153543160666112
1144a1831a374728
1215279839a0ba28
13678a09a345369
1429cb7587adc40
1512b40239bbee2
hex8ba58d8c9800

153543160666112 has 192 divisors, whose sum is σ = 357811691328000. Its totient is φ = 64508566634496.

The previous prime is 153543160666097. The next prime is 153543160666177. The reversal of 153543160666112 is 211666061345351.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303397988 + ... + 303903644.

It is an arithmetic number, because the mean of its divisors is an integer number (1863602559000).

Almost surely, 2153543160666112 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 153543160666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178905845664000).

153543160666112 is an abundant number, since it is smaller than the sum of its proper divisors (204268530661888).

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

153543160666112 is an equidigital number, since it uses as much as digits as its factorization.

153543160666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506104 (or 506084 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 153543160666112 in words is "one hundred fifty-three trillion, five hundred forty-three billion, one hundred sixty million, six hundred sixty-six thousand, one hundred twelve".