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123274016450 = 25213217238467
BaseRepresentation
bin111001011001110110…
…1000011011011000010
3102210012011210212201222
41302303231003123002
54004431122011300
6132344205555042
711622562564604
oct1626355033302
9383164725658
10123274016450
1148309a72142
121ba84275a82
13b81759c900
145d760bb174
153317624785
hex1cb3b436c2

123274016450 has 72 divisors (see below), whose sum is σ = 248457521808. Its totient is φ = 45484770240.

The previous prime is 123274016441. The next prime is 123274016477. The reversal of 123274016450 is 54610472321.

It is a super-3 number, since 3×1232740164503 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123274016450.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14555117 + ... + 14563583.

It is an arithmetic number, because the mean of its divisors is an integer number (3450798914).

Almost surely, 2123274016450 is an apocalyptic number.

123274016450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123274016450 is an abundant number, since it is smaller than the sum of its proper divisors (125183505358).

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

123274016450 is a wasteful number, since it uses less digits than its factorization.

123274016450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 123274016450 its reverse (54610472321), we get a palindrome (177884488771).

The spelling of 123274016450 in words is "one hundred twenty-three billion, two hundred seventy-four million, sixteen thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 650 845 1690 1723 3446 4225 8450 8467 8615 16934 17230 22399 42335 43075 44798 84670 86150 110071 111995 211675 220142 223990 291187 423350 550355 559975 582374 1100710 1119950 1430923 1455935 2751775 2861846 2911870 5503550 7154615 7279675 14309230 14559350 14588641 29177282 35773075 71546150 72943205 145886410 189652333 364716025 379304666 729432050 948261665 1896523330 2465480329 4741308325 4930960658 9482616650 12327401645 24654803290 61637008225 123274016450