Search a number
-
+
48680608440 = 23353710964101
BaseRepresentation
bin101101010101100101…
…110010001010111000
311122122122011010122210
4231111211302022320
51244144213432230
634210310215120
73342231226062
oct552545621270
9148578133583
1048680608440
1119710a30702
1295270544a0
13478a605569
1424db402732
1513edb23eb0
hexb559722b8

48680608440 has 64 divisors (see below), whose sum is σ = 149988915360. Its totient is φ = 12630643200.

The previous prime is 48680608429. The next prime is 48680608441. The reversal of 48680608440 is 4480608684.

48680608440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48680608440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48680608441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5477611 + ... + 5486490.

Almost surely, 248680608440 is an apocalyptic number.

48680608440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48680608440 is an abundant number, since it is smaller than the sum of its proper divisors (101308306920).

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

48680608440 is a wasteful number, since it uses less digits than its factorization.

48680608440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964152 (or 10964148 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 48680608440 in words is "forty-eight billion, six hundred eighty million, six hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 10964101 21928202 32892303 43856404 54820505 65784606 87712808 109641010 131569212 164461515 219282020 263138424 328923030 405671737 438564040 657846060 811343474 1217015211 1315692120 1622686948 2028358685 2434030422 3245373896 4056717370 4868060844 6085076055 8113434740 9736121688 12170152110 16226869480 24340304220 48680608440