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415162112730 = 235531812236469
BaseRepresentation
bin1100000101010011001…
…01110001101011011010
31110200121100202111112120
412002221211301223122
523300223000101410
6514420044522110
741665050506211
oct6025145615332
91420540674476
10415162112730
1115008420a082
1268564b50336
13301c3937691
1416145b46078
15abeca81570
hex60a9971ada

415162112730 has 128 divisors (see below), whose sum is σ = 1025533716480. Its totient is φ = 107519892480.

The previous prime is 415162112693. The next prime is 415162112731. The reversal of 415162112730 is 37211261514.

It is a junction number, because it is equal to n+sod(n) for n = 415162112691 and 415162112700.

It is not an unprimeable number, because it can be changed into a prime (415162112731) 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 63 ways as a sum of consecutive naturals, for example, 64173936 + ... + 64180404.

It is an arithmetic number, because the mean of its divisors is an integer number (8011982160).

Almost surely, 2415162112730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415162112730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512766858240).

415162112730 is an abundant number, since it is smaller than the sum of its proper divisors (610371603750).

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

415162112730 is a wasteful number, since it uses less digits than its factorization.

415162112730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 415162112730 in words is "four hundred fifteen billion, one hundred sixty-two million, one hundred twelve thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 181 223 265 318 362 446 530 543 669 795 905 1086 1115 1338 1590 1810 2230 2715 3345 5430 6469 6690 9593 11819 12938 19186 19407 23638 28779 32345 35457 38814 40363 47965 57558 59095 64690 70914 80726 95930 97035 118190 121089 143895 177285 194070 201815 242178 287790 342857 354570 403630 605445 685714 1028571 1170889 1210890 1442587 1714285 2057142 2139239 2341778 2885174 3428570 3512667 4278478 4327761 5142855 5854445 6417717 7025334 7212935 8655522 10285710 10696195 11708890 12835434 14425870 17563335 21392390 21638805 32088585 35126670 43277610 62057117 64177170 76457111 124114234 152914222 186171351 229371333 261108247 310285585 372342702 382285555 458742666 522216494 620571170 764571110 783324741 930856755 1146856665 1305541235 1566649482 1861713510 2293713330 2611082470 3916623705 7833247410 13838737091 27677474182 41516211273 69193685455 83032422546 138387370910 207581056365 415162112730