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12315321554452 = 2273103679312829
BaseRepresentation
bin1011001100110110001001…
…0111011101011000010100
31121121022222221012202000021
42303031202113131120110
53103233234304220302
642105325225154524
72410516102006000
oct263154227353024
947538887182007
1012315321554452
113a18997a597a4
12146a96032ba44
136b4439871137
143080c9929700
1516553a75e437
hexb33625dd614

12315321554452 has 96 divisors (see below), whose sum is σ = 25383036224000. Its totient is φ = 5225575493376.

The previous prime is 12315321554383. The next prime is 12315321554467. The reversal of 12315321554452 is 25445512351321.

12315321554452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12315321554399 and 12315321554408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959953174 + ... + 959966002.

Almost surely, 212315321554452 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 12315321554452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691518112000).

12315321554452 is an abundant number, since it is smaller than the sum of its proper divisors (13067714669548).

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

12315321554452 is a wasteful number, since it uses less digits than its factorization.

12315321554452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19750 (or 19734 counting only the distinct ones).

The product of its digits is 720000, while the sum is 43.

The spelling of 12315321554452 in words is "twelve trillion, three hundred fifteen billion, three hundred twenty-one million, five hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 343 412 686 721 1372 1442 2884 5047 6793 10094 12829 13586 20188 25658 27172 35329 47551 51316 70658 89803 95102 141316 179606 190204 332857 359212 628621 665714 699679 1257242 1321387 1331428 1399358 2329999 2514484 2642774 2798716 4400347 4659998 4897753 5285548 8800694 9249709 9319996 9795506 17601388 18499418 19591012 34284271 36998836 64747963 68568542 87147397 129495926 137137084 174294794 239989897 258991852 348589588 453235741 479979794 610031779 906471482 959959588 1220063558 1812942964 2440127116 4270222453 8540444906 8976181891 17080889812 17952363782 29891557171 35904727564 59783114342 62833273237 119566228684 125666546474 251333092948 439832912659 879665825318 1759331650636 3078830388613 6157660777226 12315321554452