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378236136630 = 2351171131912239
BaseRepresentation
bin1011000000100001010…
…00010110110010110110
31100011021221000120002010
411200100220112302312
522144111422333010
6445432001025050
736220021054212
oct5402050266266
91304257016063
10378236136630
11136455490760
126137a625186
132988a6b6891
141444192d942
159c8adb1620
hex5810a16cb6

378236136630 has 128 divisors (see below), whose sum is σ = 1005082214400. Its totient is φ = 90326230400.

The previous prime is 378236136581. The next prime is 378236136647. The reversal of 378236136630 is 36631632873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 378236136630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30898051 + ... + 30910289.

It is an arithmetic number, because the mean of its divisors is an integer number (7852204800).

Almost surely, 2378236136630 is an apocalyptic number.

378236136630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378236136630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502541107200).

378236136630 is an abundant number, since it is smaller than the sum of its proper divisors (626846077770).

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

378236136630 is a wasteful number, since it uses less digits than its factorization.

378236136630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650.

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 378236136630 in words is "three hundred seventy-eight billion, two hundred thirty-six million, one hundred thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1319 1562 2130 2343 2638 3905 3957 4686 6595 7810 7914 11715 12239 13190 14509 19785 23430 24478 29018 36717 39570 43527 61195 72545 73434 87054 93649 122390 134629 145090 183585 187298 217635 269258 280947 367170 403887 435270 468245 561894 673145 807774 868969 936490 1030139 1346290 1404735 1737938 2019435 2060278 2606907 2809470 3090417 4038870 4344845 5150695 5213814 6180834 8689690 9558659 10301390 13034535 15452085 16143241 19117318 26069070 28675977 30904170 32286482 47793295 48429723 57351954 80716205 95586590 96859446 143379885 161432410 177575651 242148615 286759770 355151302 484297230 532726953 887878255 1065453906 1146170111 1775756510 2292340222 2663634765 3438510333 5327269530 5730850555 6877020666 11461701110 12607871221 17192551665 25215742442 34385103330 37823613663 63039356105 75647227326 126078712210 189118068315 378236136630