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12551216916 = 22372191935821
BaseRepresentation
bin10111011000001110…
…00101111100010100
31012101201022212210210
423230013011330110
5201201102420131
65433240045420
7623013404100
oct135407057424
935351285723
1012551216916
115360920047
122523463870
13125040cb94
14870d06900
154d6d54146
hex2ec1c5f14

12551216916 has 144 divisors (see below), whose sum is σ = 36052618560. Its totient is φ = 3379138560.

The previous prime is 12551216903. The next prime is 12551216927. The reversal of 12551216916 is 61961215521.

12551216916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153286 + ... + 2159106.

Almost surely, 212551216916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12551216916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026309280).

12551216916 is an abundant number, since it is smaller than the sum of its proper divisors (23501401644).

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

12551216916 is a wasteful number, since it uses less digits than its factorization.

12551216916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6045 counting only the distinct ones).

The product of its digits is 32400, while the sum is 39.

The spelling of 12551216916 in words is "twelve billion, five hundred fifty-one million, two hundred sixteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 193 196 228 266 294 386 399 532 579 588 772 798 931 1158 1351 1596 1862 2316 2702 2793 3667 3724 4053 5404 5586 5821 7334 8106 9457 11001 11172 11642 14668 16212 17463 18914 22002 23284 25669 28371 34926 37828 40747 44004 51338 56742 69852 77007 81494 102676 110599 113484 122241 154014 162988 179683 221198 244482 285229 308028 331797 359366 442396 488964 539049 570458 663594 718732 774193 855687 1078098 1123453 1140916 1327188 1548386 1711374 2156196 2246906 2322579 3096772 3370359 3422748 4493812 4645158 5419351 6740718 7864171 9290316 10838702 13481436 15728342 16258053 21345607 21677404 23592513 31456684 32516106 42691214 47185026 55049197 64036821 65032212 85382428 94370052 110098394 128073642 149419249 165147591 220196788 256147284 298838498 330295182 448257747 597676996 660590364 896515494 1045934743 1793030988 2091869486 3137804229 4183738972 6275608458 12551216916