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48409146968 = 2371388375307
BaseRepresentation
bin101101000101011010…
…001111011001011000
311121221201100110112012
4231011122033121120
51243120220200333
634123332005052
73332423650160
oct550532173130
9147851313465
1048409146968
1119591779686
129470160788
1347462ba480
1424b333b5a0
1513d4da0e48
hexb4568f658

48409146968 has 64 divisors (see below), whose sum is σ = 111841416960. Its totient is φ = 19128928896.

The previous prime is 48409146967. The next prime is 48409147001. The reversal of 48409146968 is 86964190484.

48409146968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48409146967) 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, 605171 + ... + 680477.

It is an arithmetic number, because the mean of its divisors is an integer number (1747522140).

Almost surely, 248409146968 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 48409146968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55920708480).

48409146968 is an abundant number, since it is smaller than the sum of its proper divisors (63432269992).

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

48409146968 is a wasteful number, since it uses less digits than its factorization.

48409146968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76216 (or 76212 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 59.

The spelling of 48409146968 in words is "forty-eight billion, four hundred nine million, one hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 883 1766 3532 6181 7064 11479 12362 22958 24724 45916 49448 75307 80353 91832 150614 160706 301228 321412 527149 602456 642824 978991 1054298 1957982 2108596 3915964 4217192 6852937 7831928 13705874 27411748 54823496 66496081 132992162 265984324 465472567 531968648 864449053 930945134 1728898106 1861890268 3457796212 3723780536 6051143371 6915592424 12102286742 24204573484 48409146968