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12442018530 = 235597396293
BaseRepresentation
bin10111001011001101…
…00010001011100010
31012010002212000210010
423211212202023202
5200440124043110
65414335345350
7620216261334
oct134546421342
935102760703
1012442018530
115305216747
1224b2982256
1312338c8656
148605dd454
154cc484020
hex2e59a22e2

12442018530 has 64 divisors (see below), whose sum is σ = 30783265920. Its totient is φ = 3216923136.

The previous prime is 12442018483. The next prime is 12442018543. The reversal of 12442018530 is 3581024421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81064 + ... + 177356.

It is an arithmetic number, because the mean of its divisors is an integer number (480988530).

Almost surely, 212442018530 is an apocalyptic number.

12442018530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442018530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391632960).

12442018530 is an abundant number, since it is smaller than the sum of its proper divisors (18341247390).

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

12442018530 is a wasteful number, since it uses less digits than its factorization.

12442018530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96435.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12442018530 in words is "twelve billion, four hundred forty-two million, eighteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 73 118 146 177 219 295 354 365 438 590 730 885 1095 1770 2190 4307 8614 12921 21535 25842 43070 64605 96293 129210 192586 288879 481465 577758 962930 1444395 2888790 5681287 7029389 11362574 14058778 17043861 21088167 28406435 34087722 35146945 42176334 56812870 70293890 85219305 105440835 170438610 210881670 414733951 829467902 1244201853 2073669755 2488403706 4147339510 6221009265 12442018530