Search a number
-
+
12980156472 = 2333174382207
BaseRepresentation
bin11000001011010110…
…10111100000111000
31020111121110021021000
430011223113200320
5203040410001342
65544001445000
7636442336533
oct140553274070
936447407230
1012980156472
115560a61748
122623040760
1312bb24487a
148b1c81a1a
1550e83244c
hex305ad7838

12980156472 has 128 divisors (see below), whose sum is σ = 39065241600. Its totient is φ = 3977455104.

The previous prime is 12980156471. The next prime is 12980156473. The reversal of 12980156472 is 27465108921.

12980156472 is a `hidden beast` number, since 1 + 2 + 9 + 80 + 1 + 564 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12980156471) and next prime (12980156473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980156471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116793 + ... + 198999.

It is an arithmetic number, because the mean of its divisors is an integer number (305197200).

Almost surely, 212980156472 is an apocalyptic number.

12980156472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12980156472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532620800).

12980156472 is an abundant number, since it is smaller than the sum of its proper divisors (26085085128).

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

12980156472 is a wasteful number, since it uses less digits than its factorization.

12980156472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82282 (or 82272 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12980156472 in words is "twelve billion, nine hundred eighty million, one hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 258 306 344 387 408 459 516 612 731 774 918 1032 1161 1224 1462 1548 1836 2193 2322 2924 3096 3672 4386 4644 5848 6579 8772 9288 13158 17544 19737 26316 39474 52632 78948 82207 157896 164414 246621 328828 493242 657656 739863 986484 1397519 1479726 1972968 2219589 2795038 2959452 3534901 4192557 4439178 5590076 5918904 7069802 8385114 8878356 10604703 11180152 12577671 14139604 16770228 17756712 21209406 25155342 28279208 31814109 33540456 37733013 42418812 50310684 60093317 63628218 75466026 84837624 95442327 100621368 120186634 127256436 150932052 180279951 190884654 240373268 254512872 301864104 360559902 381769308 480746536 540839853 721119804 763538616 1081679706 1442239608 1622519559 2163359412 3245039118 4326718824 6490078236 12980156472