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48883441216 = 262929532
BaseRepresentation
bin101101100001101011…
…100001111001000000
311200011202211002220211
4231201223201321000
51300103130104331
634242353443504
73350243252221
oct554153417100
9150152732824
1048883441216
11198054789a5
129582b70594
1347c064205c
14251a321248
15141183c8b1
hexb61ae1e40

48883441216 has 63 divisors (see below), whose sum is σ = 100568883571. Its totient is φ = 23574139904.

The previous prime is 48883441183. The next prime is 48883441259. The reversal of 48883441216 is 61214438884.

It is a happy number.

The square root of 48883441216 is 221096.

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 173185600 + 48710255616 = 13160^2 + 220704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48883441216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51293796 + ... + 51294748.

Almost surely, 248883441216 is an apocalyptic number.

48883441216 is the 221096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48883441216

48883441216 is an abundant number, since it is smaller than the sum of its proper divisors (51685442355).

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

48883441216 is an frugal number, since it uses more digits than its factorization.

48883441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 984 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 49.

Multiplying 48883441216 by its sum of digits (49), we get a square (2395288619584 = 15476722).

The spelling of 48883441216 in words is "forty-eight billion, eight hundred eighty-three million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 953 1682 1856 1906 3364 3812 6728 7624 13456 15248 26912 27637 30496 53824 55274 60992 110548 221096 442192 801473 884384 908209 1602946 1768768 1816418 3205892 3632836 6411784 7265672 12823568 14531344 25647136 26338061 29062688 51294272 52676122 58125376 105352244 210704488 421408976 763803769 842817952 1527607538 1685635904 3055215076 6110430152 12220860304 24441720608 48883441216