Search a number
-
+
48442983520476 = 22319796174358969
BaseRepresentation
bin10110000001111000000101…
…10100110001100011011100
320100112002210210221212100110
423000330002310301203130
522322142212240123401
6251010222134330020
713126614201623226
oct1300740264614334
9210462723855313
1048442983520476
1114487610322846
1255246a91b9910
1321051cca13b2c
14bd691d841416
155901a6e4d9d6
hex2c0f02d318dc

48442983520476 has 96 divisors (see below), whose sum is σ = 120684187008000. Its totient is φ = 15079658001408.

The previous prime is 48442983520439. The next prime is 48442983520483. The reversal of 48442983520476 is 67402538924484.

It is a super-2 number, since 2×484429835204762 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8933920 + ... + 13292888.

It is an arithmetic number, because the mean of its divisors is an integer number (1257126948000).

Almost surely, 248442983520476 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 48442983520476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342093504000).

48442983520476 is an abundant number, since it is smaller than the sum of its proper divisors (72241203487524).

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

48442983520476 is a wasteful number, since it uses less digits than its factorization.

48442983520476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359691 (or 4359689 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 66.

The spelling of 48442983520476 in words is "forty-eight trillion, four hundred forty-two billion, nine hundred eighty-three million, five hundred twenty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 617 948 1234 1501 1851 2468 3002 3702 4503 6004 7404 9006 11723 18012 23446 35169 46892 48743 70338 97486 140676 146229 194972 292458 584916 926117 1852234 2778351 3704468 4358969 5556702 8717938 11113404 13076907 17435876 26153814 52307628 82820411 165640822 248461233 331281644 344358551 496922466 688717102 993844932 1033075653 1377434204 2066151306 2689483873 4132302612 5378967746 6542812469 8068451619 10757935492 13085624938 16136903238 19628437407 26171249876 32273806476 39256874814 51100193587 78513749628 102200387174 153300580761 204400774348 212469225967 306601161522 424938451934 613202323044 637407677901 849876903868 1274815355802 2549630711604 4036915293373 8073830586746 12110745880119 16147661173492 24221491760238 48442983520476