Search a number
-
+
68841014886 = 2337577315631
BaseRepresentation
bin100000000011100111…
…1101000011001100110
320120200122111220012000
41000013033220121212
52111441244434021
651343005510130
74654641654210
oct1000717503146
9216618456160
1068841014886
1127216a5a436
1211412872346
1366512b3947
143490b215b0
151bcd9c7b26
hex10073e8666

68841014886 has 64 divisors (see below), whose sum is σ = 175137884160. Its totient is φ = 19634711040.

The previous prime is 68841014849. The next prime is 68841014887.

It is a happy number.

68841014886 is a `hidden beast` number, since 6 + 8 + 8 + 410 + 148 + 86 = 666.

68841014886 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68841014887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60291 + ... + 375921.

It is an arithmetic number, because the mean of its divisors is an integer number (2736529440).

Almost surely, 268841014886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68841014886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87568942080).

68841014886 is an abundant number, since it is smaller than the sum of its proper divisors (106296869274).

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

68841014886 is a wasteful number, since it uses less digits than its factorization.

68841014886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316226 (or 316220 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 68841014886 in words is "sixty-eight billion, eight hundred forty-one million, fourteen thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 577 1154 1731 3462 4039 5193 8078 10386 12117 15579 24234 31158 36351 72702 109053 218106 315631 631262 946893 1893786 2209417 2840679 4418834 5681358 6628251 8522037 13256502 17044074 19884753 39769506 59654259 119308518 182119087 364238174 546357261 1092714522 1274833609 1639071783 2549667218 3278143566 3824500827 4917215349 7649001654 9834430698 11473502481 22947004962 34420507443 68841014886