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13054451463216 = 24323731091222773
BaseRepresentation
bin1011110111110111100111…
…1100010011010000110000
31201012222211011112110110100
42331331321330103100300
53202341004033310331
643433044320232400
72515103322403122
oct275757174232060
951188734473410
1013054451463216
1141833a8581a69
12156a05946b700
1373904ca39537
14331ba5a29212
15179899c2dae6
hexbdf79f13430

13054451463216 has 120 divisors (see below), whose sum is σ = 36666021568176. Its totient is φ = 4335820346880.

The previous prime is 13054451463169. The next prime is 13054451463223. The reversal of 13054451463216 is 61236415445031.

13054451463216 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 4 + 5 + 1 + 4 + 632 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58488406 + ... + 58711178.

Almost surely, 213054451463216 is an apocalyptic number.

13054451463216 is a gapful number since it is divisible by the number (16) 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 13054451463216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333010784088).

13054451463216 is an abundant number, since it is smaller than the sum of its proper divisors (23611570104960).

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

13054451463216 is a wasteful number, since it uses less digits than its factorization.

13054451463216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224251 (or 224242 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13054451463216 in words is "thirteen trillion, fifty-four billion, four hundred fifty-one million, four hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1091 1119 1492 2182 2238 2984 3273 3357 4364 4476 5968 6546 6714 8728 8952 9819 13092 13428 17456 17904 19638 26184 26856 39276 52368 53712 78552 157104 222773 406943 445546 668319 813886 891092 1220829 1336638 1627772 1782184 2004957 2441658 2673276 3255544 3564368 3662487 4009914 4883316 5346552 6511088 7324974 8019828 9766632 10693104 14649948 16039656 19533264 29299896 32079312 58599792 83094329 166188658 243045343 249282987 332377316 486090686 498565974 664754632 729136029 747848961 972181372 997131948 1329509264 1458272058 1495697922 1944362744 1994263896 2187408087 2916544116 2991395844 3888725488 3988527792 4374816174 5833088232 5982791688 8749632348 11666176464 11965583376 17499264696 34998529392 90655912939 181311825878 271967738817 362623651756 543935477634 725247303512 815903216451 1087870955268 1450494607024 1631806432902 2175741910536 3263612865804 4351483821072 6527225731608 13054451463216