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61374314336 = 2541731095879
BaseRepresentation
bin111001001010001100…
…011011011101100000
312212102021121012121012
4321022030123131200
52001143311024321
644110040320052
74301625031016
oct711214333540
9185367535535
1061374314336
1124035222835
12ba8a173028
135a313b463a
142d831da8b6
1518e322205b
hexe4a31b760

61374314336 has 96 divisors (see below), whose sum is σ = 126646027200. Its totient is φ = 29252689920.

The previous prime is 61374314333. The next prime is 61374314341. The reversal of 61374314336 is 63341347316.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 61374314293 and 61374314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61374314333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10436645 + ... + 10442523.

It is an arithmetic number, because the mean of its divisors is an integer number (1319229450).

Almost surely, 261374314336 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 61374314336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63323013600).

61374314336 is an abundant number, since it is smaller than the sum of its proper divisors (65271712864).

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

61374314336 is a wasteful number, since it uses less digits than its factorization.

61374314336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6104 counting only the distinct ones).

The product of its digits is 326592, while the sum is 41.

The spelling of 61374314336 in words is "sixty-one billion, three hundred seventy-four million, three hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 73 82 109 146 164 218 292 328 436 584 656 872 1168 1312 1744 2336 2993 3488 4469 5879 5986 7957 8938 11758 11972 15914 17876 23516 23944 31828 35752 47032 47888 63656 71504 94064 95776 127312 143008 188128 241039 254624 326237 429167 482078 640811 652474 858334 964156 1281622 1304948 1716668 1928312 2563244 2609896 3433336 3856624 5126488 5219792 6866672 7713248 10252976 10439584 13733344 17595847 20505952 26273251 35191694 46779203 52546502 70383388 93558406 105093004 140766776 187116812 210186008 281533552 374233624 420372016 563067104 748467248 840744032 1496934496 1917947323 3835894646 7671789292 15343578584 30687157168 61374314336