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66344914900 = 225211281214639
BaseRepresentation
bin111101110010011101…
…110000111111010100
320100020200122212201101
4331302131300333110
52041333244234100
650251201435444
74536042320605
oct756235607724
9210220585641
1066344914900
1126155a7a590
1210a3693bb84
13634411b6c4
1432d5407dac
151ad47bc86a
hexf72770fd4

66344914900 has 72 divisors (see below), whose sum is σ = 157616161920. Its totient is φ = 24039456000.

The previous prime is 66344914879. The next prime is 66344914921. The reversal of 66344914900 is 941944366.

It is an interprime number because it is at equal distance from previous prime (66344914879) and next prime (66344914921).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201781 + ... + 416419.

It is an arithmetic number, because the mean of its divisors is an integer number (2189113360).

Almost surely, 266344914900 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 66344914900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808080960).

66344914900 is an abundant number, since it is smaller than the sum of its proper divisors (91271247020).

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

66344914900 is a wasteful number, since it uses less digits than its factorization.

66344914900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214945 (or 214938 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 66344914900 in words is "sixty-six billion, three hundred forty-four million, nine hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 550 562 1100 1124 1405 2810 3091 5620 6182 7025 12364 14050 15455 28100 30910 61820 77275 154550 214639 309100 429278 858556 1073195 2146390 2361029 4292780 4722058 5365975 9444116 10731950 11805145 21463900 23610290 47220580 59025725 60313559 118051450 120627118 236102900 241254236 301567795 603135590 663449149 1206271180 1326898298 1507838975 2653796596 3015677950 3317245745 6031355900 6634491490 13268982980 16586228725 33172457450 66344914900