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345153216156 = 223723383466451
BaseRepresentation
bin1010000010111001011…
…11000001111010011100
31012222220022200001212020
411001130233001322130
521123333210404111
6422321115140140
733636134634060
oct5013457017234
91188808601766
10345153216156
11123418aa0971
1256a87144650
13267176c67a8
14129c3c95aa0
158ea17b4906
hex505cbc1e9c

345153216156 has 96 divisors (see below), whose sum is σ = 962936045568. Its totient is φ = 94081099200.

The previous prime is 345153216151. The next prime is 345153216173. The reversal of 345153216156 is 651612351543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345153216151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 506731 + ... + 973181.

It is an arithmetic number, because the mean of its divisors is an integer number (10030583808).

Almost surely, 2345153216156 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 345153216156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481468022784).

345153216156 is an abundant number, since it is smaller than the sum of its proper divisors (617782829412).

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

345153216156 is a wasteful number, since it uses less digits than its factorization.

345153216156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466871 (or 466869 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

Adding to 345153216156 its reverse (651612351543), we get a palindrome (996765567699).

The spelling of 345153216156 in words is "three hundred forty-five billion, one hundred fifty-three million, two hundred sixteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 383 483 644 766 966 1149 1532 1932 2298 2681 4596 5362 8043 8809 10724 16086 17618 26427 32172 35236 52854 61663 105708 123326 184989 246652 369978 466451 739956 932902 1399353 1865804 2798706 3265157 5597412 6530314 9795471 10728373 13060628 19590942 21456746 32185119 39181884 42913492 64370238 75098611 128740476 150197222 178650733 225295833 300394444 357301466 450591666 535952199 714602932 901183332 1071904398 1250555131 2143808796 2501110262 3751665393 4108966859 5002220524 7503330786 8217933718 12326900577 15006661572 16435867436 24653801154 28762768013 49307602308 57525536026 86288304039 115051072052 172576608078 345153216156