Search a number
-
+
2130616636632 = 2332113832170201
BaseRepresentation
bin11111000000010010101…
…001011101010011011000
321112200111100002111000200
4133000102221131103120
5234402000324333012
64310443004502200
7306634444411611
oct37002251352330
97480440074020
102130616636632
11751653601170
122a4b1724a960
13125bbb10b043
147519dbd2c08
153a6500483dc
hex1f012a5d4d8

2130616636632 has 96 divisors (see below), whose sum is σ = 6295257642960. Its totient is φ = 645615360000.

The previous prime is 2130616636591. The next prime is 2130616636639. The reversal of 2130616636632 is 2366366160312.

2130616636632 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 1 + 6 + 6 + 3 + 6 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130616636639) 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 23 ways as a sum of consecutive naturals, for example, 30315132 + ... + 30385332.

Almost surely, 22130616636632 is an apocalyptic number.

2130616636632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2130616636632 is an abundant number, since it is smaller than the sum of its proper divisors (4164641006328).

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

2130616636632 is a wasteful number, since it uses less digits than its factorization.

2130616636632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108545 (or 108538 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 2130616636632 in words is "two trillion, one hundred thirty billion, six hundred sixteen million, six hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 38321 70201 76642 114963 140402 153284 210603 229926 280804 306568 344889 421206 421531 459852 561608 631809 689778 772211 842412 843062 919704 1263618 1264593 1379556 1544422 1684824 1686124 2316633 2527236 2529186 2759112 3088844 3372248 3793779 4633266 5054472 5058372 6177688 6949899 7587558 9266532 10116744 13899798 15175116 18533064 27799596 30350232 55599192 2690172521 5380345042 8070517563 10760690084 16141035126 21521380168 24211552689 29591897731 32282070252 48423105378 59183795462 64564140504 88775693193 96846210756 118367590924 177551386386 193692421512 236735181848 266327079579 355102772772 532654159158 710205545544 1065308318316 2130616636632