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61022452014 = 23231307356219
BaseRepresentation
bin111000110101001110…
…001011100100101110
312211111202111202020100
4320311032023210232
51444433221431024
644011110531530
74260123166236
oct706516134456
9184452452210
1061022452014
1123974646427
12b9b0366ba6
1359a6528894
142d4c5a6cc6
1518c23bb7c9
hexe3538b92e

61022452014 has 48 divisors (see below), whose sum is σ = 136925268480. Its totient is φ = 19620487440.

The previous prime is 61022451989. The next prime is 61022452027. The reversal of 61022452014 is 41025422016.

61022452014 is a `hidden beast` number, since 6 + 102 + 24 + 520 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6804 + ... + 349415.

It is an arithmetic number, because the mean of its divisors is an integer number (2852609760).

Almost surely, 261022452014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61022452014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68462634240).

61022452014 is an abundant number, since it is smaller than the sum of its proper divisors (75902816466).

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

61022452014 is a wasteful number, since it uses less digits than its factorization.

61022452014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356565 (or 356562 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 61022452014 in words is "sixty-one billion, twenty-two million, four hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 307 558 614 921 1842 2763 5526 9517 19034 28551 57102 85653 171306 356219 712438 1068657 2137314 3205971 6411942 11042789 22085578 33128367 66256734 99385101 109359233 198770202 218718466 328077699 656155398 984233097 1968466194 3390136223 6780272446 10170408669 20340817338 30511226007 61022452014