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61432249944 = 233132112573631
BaseRepresentation
bin111001001101101001…
…011011111001011000
312212120022121122022110
4321031221123321120
52001303123444234
644115510152320
74303230336342
oct711551337130
9185508548273
1061432249944
11240649a36aa
12baa56526a0
135a403baa70
142d8ab9c292
1518e83681e9
hexe4da5be58

61432249944 has 128 divisors (see below), whose sum is σ = 166870932480. Its totient is φ = 18734284800.

The previous prime is 61432249927. The next prime is 61432249961. The reversal of 61432249944 is 44994223416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61432249927) and next prime (61432249961).

It is a junction number, because it is equal to n+sod(n) for n = 61432249893 and 61432249902.

It is a congruent number.

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, 16917009 + ... + 16920639.

It is an arithmetic number, because the mean of its divisors is an integer number (1303679160).

Almost surely, 261432249944 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 61432249944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83435466240).

61432249944 is an abundant number, since it is smaller than the sum of its proper divisors (105438682536).

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

61432249944 is a wasteful number, since it uses less digits than its factorization.

61432249944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4117 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 61432249944 in words is "sixty-one billion, four hundred thirty-two million, two hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 257 312 422 514 633 771 844 1028 1266 1542 1688 2056 2532 2743 3084 3341 3631 5064 5486 6168 6682 7262 8229 10023 10893 10972 13364 14524 16458 20046 21786 21944 26728 29048 32916 40092 43572 47203 54227 65832 80184 87144 94406 108454 141609 162681 188812 216908 283218 325362 377624 433816 566436 650724 704951 766141 933167 1132872 1301448 1409902 1532282 1866334 2114853 2298423 2799501 2819804 3064564 3732668 4229706 4596846 5599002 5639608 6129128 7465336 8459412 9193692 9959833 11198004 12131171 16918824 18387384 19919666 22396008 24262342 29879499 36393513 39839332 48524684 59758998 72787026 79678664 97049368 119517996 145574052 196898237 239035992 291148104 393796474 590694711 787592948 1181389422 1575185896 2362778844 2559677081 4725557688 5119354162 7679031243 10238708324 15358062486 20477416648 30716124972 61432249944