Search a number
-
+
66155382400 = 275283249079
BaseRepresentation
bin111101100111001010…
…110000011010000000
320022202111000122000011
4331213022300122000
52040441234214100
650220311234304
74531251320662
oct754712603200
9208674018004
1066155382400
1126068a96a58
12109a3378994
136313a8a9b3
1432b818c532
151ac2d2ebba
hexf672b0680

66155382400 has 96 divisors (see below), whose sum is σ = 165394101600. Its totient is φ = 26143226880.

The previous prime is 66155382361. The next prime is 66155382401. The reversal of 66155382400 is 428355166.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (66155382401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141061 + ... + 390139.

It is an arithmetic number, because the mean of its divisors is an integer number (1722855225).

Almost surely, 266155382400 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 66155382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82697050800).

66155382400 is an abundant number, since it is smaller than the sum of its proper divisors (99238719200).

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

66155382400 is a wasteful number, since it uses less digits than its factorization.

66155382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249186 (or 249169 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 66155382400 in words is "sixty-six billion, one hundred fifty-five million, three hundred eighty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 320 332 400 415 640 664 800 830 1328 1600 1660 2075 2656 3200 3320 4150 5312 6640 8300 10624 13280 16600 26560 33200 53120 66400 132800 249079 265600 498158 996316 1245395 1992632 2490790 3985264 4981580 6226975 7970528 9963160 12453950 15941056 19926320 20673557 24907900 31882112 39852640 41347114 49815800 79705280 82694228 99631600 103367785 159410560 165388456 199263200 206735570 330776912 398526400 413471140 516838925 661553824 797052800 826942280 1033677850 1323107648 1653884560 2067355700 2646215296 3307769120 4134711400 6615538240 8269422800 13231076480 16538845600 33077691200 66155382400