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153143360112 = 24319293573107
BaseRepresentation
bin1000111010100000001…
…1100011101001110000
3112122021211020202022110
42032220003203221300
510002114200010422
6154204133405320
714031015040311
oct2165003435160
9478254222273
10153143360112
1159a47486126
122581b499840
1311597879562
1475ab034608
153eb4a4060c
hex23a80e3a70

153143360112 has 80 divisors (see below), whose sum is σ = 417864504960. Its totient is φ = 48195922176.

The previous prime is 153143360101. The next prime is 153143360129. The reversal of 153143360112 is 211063341351.

It is a self number, because there is not a number n which added to its sum of digits gives 153143360112.

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, 19338 + ... + 553769.

It is an arithmetic number, because the mean of its divisors is an integer number (5223306312).

Almost surely, 2153143360112 is an apocalyptic number.

153143360112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153143360112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208932252480).

153143360112 is an abundant number, since it is smaller than the sum of its proper divisors (264721144848).

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

153143360112 is a wasteful number, since it uses less digits than its factorization.

153143360112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573430 (or 573424 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 153143360112 in words is "one hundred fifty-three billion, one hundred forty-three million, three hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 293 304 456 586 879 912 1172 1758 2344 3516 4688 5567 7032 11134 14064 16701 22268 33402 44536 66804 89072 133608 267216 573107 1146214 1719321 2292428 3438642 4584856 6877284 9169712 10889033 13754568 21778066 27509136 32667099 43556132 65334198 87112264 130668396 167920351 174224528 261336792 335840702 503761053 522673584 671681404 1007522106 1343362808 2015044212 2686725616 3190486669 4030088424 6380973338 8060176848 9571460007 12761946676 19142920014 25523893352 38285840028 51047786704 76571680056 153143360112