Search a number
-
+
661005666150 = 235219193724623
BaseRepresentation
bin10011001111001110000…
…00100000011101100110
32100012011121202222211220
421213213000200131212
541312214422304100
61223354541241210
765520223313004
oct11474700403546
92305147688756
10661005666150
11235370514505
12a8135563206
134a44285990b
1423dc851ba74
15122daa20aa0
hex99e7020766

661005666150 has 96 divisors (see below), whose sum is σ = 1649702412288. Its totient is φ = 175151059200.

The previous prime is 661005666107. The next prime is 661005666151. The reversal of 661005666150 is 51666500166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661005666151) 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, 26832739 + ... + 26857361.

It is an arithmetic number, because the mean of its divisors is an integer number (17184400128).

Almost surely, 2661005666150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661005666150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824851206144).

661005666150 is an abundant number, since it is smaller than the sum of its proper divisors (988696746138).

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

661005666150 is a wasteful number, since it uses less digits than its factorization.

661005666150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25766 (or 25761 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 661005666150 in words is "six hundred sixty-one billion, five million, six hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 191 382 573 937 955 1146 1874 1910 2811 2865 4685 4775 5622 5730 9370 9550 14055 14325 23425 24623 28110 28650 46850 49246 70275 73869 123115 140550 147738 178967 246230 357934 369345 536901 615575 738690 894835 1073802 1231150 1789670 1846725 2684505 3693450 4474175 4702993 5369010 8948350 9405986 13422525 14108979 23071751 23514965 26845050 28217958 46143502 47029930 69215253 70544895 115358755 117574825 138430506 141089790 230717510 235149650 346076265 352724475 576793775 692152530 705448950 1153587550 1730381325 3460762650 4406704441 8813408882 13220113323 22033522205 26440226646 44067044410 66100566615 110167611025 132201133230 220335222050 330502833075 661005666150