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5111325453444 = 22372487160111149
BaseRepresentation
bin100101001100001001010…
…1111001110110010000100
3200002122020001121010002120
41022120102233032302010
51132220443304002234
614512035511205540
71035165260334300
oct112302257166204
920078201533076
105111325453444
1116a0778a6a441
126a67386768b0
132b0cc406b842
141395649d4d00
158ce55d86049
hex4a612bcec84

5111325453444 has 144 divisors (see below), whose sum is σ = 13912016630400. Its totient is φ = 1456339046400.

The previous prime is 5111325453433. The next prime is 5111325453503. The reversal of 5111325453444 is 4443545231115.

It is a super-2 number, since 2×51113254534442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5111325453396 and 5111325453405.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 458450382 + ... + 458461530.

It is an arithmetic number, because the mean of its divisors is an integer number (96611226600).

Almost surely, 25111325453444 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 5111325453444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956008315200).

5111325453444 is an abundant number, since it is smaller than the sum of its proper divisors (8800691176956).

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

5111325453444 is a wasteful number, since it uses less digits than its factorization.

5111325453444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258 (or 13249 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 5111325453444 in words is "five trillion, one hundred eleven billion, three hundred twenty-five million, four hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 487 588 974 1461 1601 1948 2922 3202 3409 4803 5844 6404 6818 9606 10227 11149 11207 13636 19212 20454 22298 22414 23863 33447 33621 40908 44596 44828 47726 66894 67242 71589 78043 78449 95452 133788 134484 143178 156086 156898 234129 235347 286356 312172 313796 468258 470694 546301 779687 936516 941388 1092602 1559374 1638903 2185204 2339061 3118748 3277806 4678122 5429563 5457809 6555612 9356244 10859126 10915618 16288689 16373427 17849549 21718252 21831236 32577378 32746854 35699098 38006941 38204663 53548647 65154756 65493708 71398196 76013882 76409326 107097294 114020823 114613989 124946843 152027764 152818652 214194588 228041646 229227978 249893686 266048587 374840529 456083292 458455956 499787372 532097174 749681058 798145761 874627901 1064194348 1499362116 1596291522 1749255802 2623883703 3192583044 3498511604 5247767406 8692730363 10495534812 17385460726 26078191089 34770921452 52156382178 60849112541 104312764356 121698225082 182547337623 243396450164 365094675246 425943787787 730189350492 851887575574 1277831363361 1703775151148 2555662726722 5111325453444