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48116270466 = 232118310926861
BaseRepresentation
bin101100110011111101…
…000000010110000010
311121012022020210111100
4230303331000112002
51242020231123331
634034310355230
73322236356625
oct546375002602
9147168223440
1048116270466
1119451420190
1293aa05bb16
1346ca714b74
14248649ddbc
1513b92ecae6
hexb33f40582

48116270466 has 96 divisors (see below), whose sum is σ = 116159883840. Its totient is φ = 14272329600.

The previous prime is 48116270407. The next prime is 48116270473. The reversal of 48116270466 is 66407261184.

48116270466 is a `hidden beast` number, since 4 + 8 + 11 + 627 + 0 + 4 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777876 + ... + 1804736.

It is an arithmetic number, because the mean of its divisors is an integer number (1209998790).

Almost surely, 248116270466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48116270466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58079941920).

48116270466 is an abundant number, since it is smaller than the sum of its proper divisors (68043613374).

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

48116270466 is a wasteful number, since it uses less digits than its factorization.

48116270466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27072 (or 27069 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48116270466 in words is "forty-eight billion, one hundred sixteen million, two hundred seventy thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 109 166 198 218 249 327 498 654 747 913 981 1199 1494 1826 1962 2398 2739 3597 5478 7194 8217 9047 10791 16434 18094 21582 26861 27141 53722 54282 80583 81423 99517 161166 162846 199034 241749 295471 298551 483498 590942 597102 886413 895653 1772826 1791306 2229463 2659239 2927849 4458926 5318478 5855698 6688389 8783547 13376778 17567094 20065167 24524093 26350641 32206339 40130334 49048186 52701282 64412678 73572279 96619017 147144558 193238034 220716837 243011467 289857051 441433674 486022934 579714102 729034401 1458068802 2187103203 2673126137 4374206406 5346252274 8019378411 16038756822 24058135233 48116270466