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44780484996 = 223213227132
BaseRepresentation
bin101001101101000111…
…111111100110000100
311021120211101100002100
4221231013333212010
51213202301004441
632323305112100
73143462561562
oct515507774604
9137524340070
1044780484996
1117a9a464195
128818a88630
1342b85b3400
14224b44aa32
15127152bcb6
hexa6d1ff984

44780484996 has 81 divisors (see below), whose sum is σ = 122617421199. Its totient is φ = 13773532032.

The previous prime is 44780484979. The next prime is 44780484997. The reversal of 44780484996 is 69948408744.

The square root of 44780484996 is 211614.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3408924996 + 41371560000 = 58386^2 + 203400^2 .

It is a super-2 number, since 2×447804849962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44780484997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16504536 + ... + 16507248.

Almost surely, 244780484996 is an apocalyptic number.

44780484996 is the 211614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44780484996

44780484996 is an abundant number, since it is smaller than the sum of its proper divisors (77836936203).

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

44780484996 is a wasteful number, since it uses less digits than its factorization.

44780484996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 44780484996 in words is "forty-four billion, seven hundred eighty million, four hundred eighty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2713 3042 5426 6084 8139 10852 16278 24417 32556 35269 48834 70538 97668 105807 141076 211614 317421 423228 458497 634842 916994 1269684 1375491 1833988 2750982 4126473 5501964 7360369 8252946 14720738 16505892 22081107 29441476 44162214 66243321 88324428 95684797 132486642 191369594 264973284 287054391 382739188 574108782 861163173 1148217564 1243902361 1722326346 2487804722 3444652692 3731707083 4975609444 7463414166 11195121249 14926828332 22390242498 44780484996