Search a number
-
+
122656156461630 = 23351183497570713
BaseRepresentation
bin11011111000111000011100…
…101000101010101000111110
3121002021210222102202202201000
4123320320130220222220332
5112034044302023233010
61112511243240031130
734556420620452561
oct3370703450525076
9532253872682630
10122656156461630
113609a202757360
121190b7027624a6
13535956c9a905c
142240837dd04d8
15e2a87c5877c0
hex6f8e1ca2aa3e

122656156461630 has 128 divisors (see below), whose sum is σ = 361116921392640. Its totient is φ = 29376574836480.

The previous prime is 122656156461623. The next prime is 122656156461637. The reversal of 122656156461630 is 36164651656221.

122656156461630 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 6 + 15 + 6 + 4 + 616 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122656156461623) and next prime (122656156461637).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122656156461637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248538847 + ... + 249031866.

It is an arithmetic number, because the mean of its divisors is an integer number (2821225948380).

Almost surely, 2122656156461630 is an apocalyptic number.

122656156461630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122656156461630 is an abundant number, since it is smaller than the sum of its proper divisors (238460764931010).

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

122656156461630 is a wasteful number, since it uses less digits than its factorization.

122656156461630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497570823 (or 497570817 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 122656156461630 in words is "one hundred twenty-two trillion, six hundred fifty-six billion, one hundred fifty-six million, four hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 83 90 99 110 135 165 166 198 249 270 297 330 415 495 498 594 747 830 913 990 1245 1485 1494 1826 2241 2490 2739 2970 3735 4482 4565 5478 7470 8217 9130 11205 13695 16434 22410 24651 27390 41085 49302 82170 123255 246510 497570713 995141426 1492712139 2487853565 2985424278 4478136417 4975707130 5473277843 7463560695 8956272834 10946555686 13434409251 14927121390 16419833529 22390682085 26868818502 27366389215 32839667058 41298369179 44781364170 49259500587 54732778430 67172046255 82099167645 82596738358 98519001174 123895107537 134344092510 147778501761 164198335290 206491845895 246297502935 247790215074 295557003522 371685322611 412983691790 454282060969 492595005870 619475537685 738892508805 743370645222 908564121938 1115055967833 1238951075370 1362846182907 1477785017610 1858426613055 2230111935666 2271410304845 2725692365814 3716853226110 4088538548721 4542820609690 5575279839165 6814230914535 8177077097442 11150559678330 12265615646163 13628461829070 20442692743605 24531231292326 40885385487210 61328078230815 122656156461630