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61544081556 = 2234443521823
BaseRepresentation
bin111001010100010100…
…000010100010010100
312212212010001021110000
4321110110002202110
52002020241102211
644134543131300
74306056030126
oct712424024224
9185763037400
1061544081556
1124112036421
12bb16ba3b30
135a5a614a09
142d9b98d216
1519030a8656
hexe54502894

61544081556 has 120 divisors (see below), whose sum is σ = 161757376704. Its totient is φ = 20404275840.

The previous prime is 61544081551. The next prime is 61544081563. The reversal of 61544081556 is 65518044516.

61544081556 is a `hidden beast` number, since 6 + 1 + 54 + 40 + 8 + 1 + 556 = 666.

It is a super-2 number, since 2×615440815562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61544081551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74779761 + ... + 74780583.

Almost surely, 261544081556 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 61544081556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80878688352).

61544081556 is an abundant number, since it is smaller than the sum of its proper divisors (100213295148).

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

61544081556 is a wasteful number, since it uses less digits than its factorization.

61544081556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 61544081556 in words is "sixty-one billion, five hundred forty-four million, eighty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 443 521 823 886 1042 1329 1563 1646 1772 2084 2469 2658 3126 3292 3987 4689 4938 5316 6252 7407 7974 9378 9876 11961 14067 14814 15948 18756 22221 23922 28134 29628 35883 42201 44442 47844 56268 66663 71766 84402 88884 133326 143532 168804 230803 266652 364589 428783 461606 692409 729178 857566 923212 1093767 1286349 1384818 1458356 1715132 2077227 2187534 2572698 2769636 3281301 3859047 4154454 4375068 5145396 6231681 6562602 7718094 8308908 9843903 11577141 12463362 13125204 15436188 18695043 19687806 23154282 24926724 29531709 34731423 37390086 39375612 46308564 59063418 69462846 74780172 118126836 138925692 189950869 379901738 569852607 759803476 1139705214 1709557821 2279410428 3419115642 5128673463 6838231284 10257346926 15386020389 20514693852 30772040778 61544081556