Search a number
-
+
61670457378 = 2337355728087
BaseRepresentation
bin111001011011110110…
…001000000000100010
312220011220211211111000
4321123312020000202
52002300114114003
644155255532430
74312152144555
oct713366100042
9186156754430
1061670457378
1124177402452
12bb5138a116
135a7a8619ca
142db068869c
15190e21d1a3
hexe5bd88022

61670457378 has 64 divisors (see below), whose sum is σ = 139177163520. Its totient is φ = 20238097536.

The previous prime is 61670457341. The next prime is 61670457389. The reversal of 61670457378 is 87375407616.

61670457378 is a `hidden beast` number, since 6 + 1 + 67 + 0 + 4 + 573 + 7 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181651 + ... + 2209737.

It is an arithmetic number, because the mean of its divisors is an integer number (2174643180).

Almost surely, 261670457378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61670457378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69588581760).

61670457378 is an abundant number, since it is smaller than the sum of its proper divisors (77506706142).

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

61670457378 is a wasteful number, since it uses less digits than its factorization.

61670457378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28722 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 61670457378 in words is "sixty-one billion, six hundred seventy million, four hundred fifty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 557 657 1114 1314 1671 1971 3342 3942 5013 10026 15039 28087 30078 40661 56174 81322 84261 121983 168522 243966 252783 365949 505566 731898 758349 1097847 1516698 2050351 2195694 4100702 6151053 12302106 15644459 18453159 31288918 36906318 46933377 55359477 93866754 110718954 140800131 281600262 422400393 844800786 1142045507 2284091014 3426136521 6852273042 10278409563 20556819126 30835228689 61670457378