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4993436736 = 263231327697
BaseRepresentation
bin1001010011010000…
…11100110001000000
3110220000000212110100
410221220130301000
540211304433421
62143254402400
7234512340411
oct45150346100
913800025410
104993436736
112132734a22
12b74360400
136176a13c2
14355273808
151e35abc26
hex129a1cc40

4993436736 has 84 divisors (see below), whose sum is σ = 14359030972. Its totient is φ = 1659101184.

The previous prime is 4993436729. The next prime is 4993436737. The reversal of 4993436736 is 6376343994.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 4948278336 = 6720^2 + 70344^2 .

It is not an unprimeable number, because it can be changed into a prime (4993436737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166440 + ... + 194136.

Almost surely, 24993436736 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 4993436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179515486).

4993436736 is an abundant number, since it is smaller than the sum of its proper divisors (9365594236).

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

4993436736 is a wasteful number, since it uses less digits than its factorization.

4993436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28028 (or 28015 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The square root of 4993436736 is about 70664.2535940202. The cubic root of 4993436736 is about 1709.2274174900.

The spelling of 4993436736 in words is "four billion, nine hundred ninety-three million, four hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 313 576 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 20032 22536 27697 30048 45072 55394 60096 83091 90144 110788 166182 180288 221576 249273 332364 443152 498546 664728 886304 997092 1329456 1772608 1994184 2658912 3988368 5317824 7976736 8669161 15953472 17338322 26007483 34676644 52014966 69353288 78022449 104029932 138706576 156044898 208059864 277413152 312089796 416119728 554826304 624179592 832239456 1248359184 1664478912 2496718368 4993436736