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5546244132 = 223211133593001
BaseRepresentation
bin1010010101001010…
…01111100000100100
3112022112020101122100
411022211033200210
542324314303012
62314203132100
7254304203652
oct51245174044
915275211570
105546244132
11239678a340
1210a9514030
136a5085680
143a8853dd2
15226da68dc
hex14a94f824

5546244132 has 144 divisors (see below), whose sum is σ = 16522047360. Its totient is φ = 1546560000.

The previous prime is 5546244073. The next prime is 5546244139. The reversal of 5546244132 is 2314426455.

5546244132 is a `hidden beast` number, since 554 + 62 + 4 + 41 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5546244139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846632 + ... + 1849632.

It is an arithmetic number, because the mean of its divisors is an integer number (114736440).

Almost surely, 25546244132 is an apocalyptic number.

5546244132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5546244132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261023680).

5546244132 is an abundant number, since it is smaller than the sum of its proper divisors (10975803228).

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

5546244132 is a wasteful number, since it uses less digits than its factorization.

5546244132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3389 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 5546244132 is about 74473.1101270788. The cubic root of 5546244132 is about 1770.1075755741.

The spelling of 5546244132 in words is "five billion, five hundred forty-six million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 359 396 429 468 572 718 858 1077 1287 1436 1716 2154 2574 3001 3231 3949 4308 4667 5148 6002 6462 7898 9003 9334 11847 12004 12924 14001 15796 18006 18668 23694 27009 28002 33011 35541 36012 39013 42003 47388 51337 54018 56004 66022 71082 78026 84006 99033 102674 108036 117039 132044 142164 154011 156052 168012 198066 205348 234078 297099 308022 351117 396132 429143 462033 468156 594198 616044 702234 858286 924066 1077359 1188396 1287429 1404468 1716572 1848132 2154718 2574858 3232077 3862287 4309436 5149716 6464154 7724574 9696231 11850949 12928308 14005667 15449148 19392462 23701898 28011334 35552847 38784924 42017001 47403796 56022668 71105694 84034002 106658541 126051003 142211388 154062337 168068004 213317082 252102006 308124674 426634164 462187011 504204012 616249348 924374022 1386561033 1848748044 2773122066 5546244132