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61104984336 = 24331178716339
BaseRepresentation
bin111000111010001001…
…000001000100010000
312211201111210211022000
4320322021001010100
52000120333444321
644023215514000
74262144540244
oct707211010420
9184644724260
1061104984336
1123a07197160
12ba13b28900
1359ba664786
142d5952c424
1518c9770826
hexe3a241110

61104984336 has 160 divisors (see below), whose sum is σ = 191593689600. Its totient is φ = 18492001920.

The previous prime is 61104984287. The next prime is 61104984341. The reversal of 61104984336 is 63348940116.

61104984336 is a `hidden beast` number, since 6 + 110 + 498 + 43 + 3 + 6 = 666.

It is a super-2 number, since 2×611049843362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61104984291 and 61104984300.

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, 3731655 + ... + 3747993.

It is an arithmetic number, because the mean of its divisors is an integer number (1197460560).

Almost surely, 261104984336 is an apocalyptic number.

61104984336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61104984336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95796844800).

61104984336 is an abundant number, since it is smaller than the sum of its proper divisors (130488705264).

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

61104984336 is a wasteful number, since it uses less digits than its factorization.

61104984336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17154 (or 17142 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 61104984336 in words is "sixty-one billion, one hundred four million, nine hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 787 792 1188 1574 1584 2361 2376 3148 4722 4752 6296 7083 8657 9444 12592 14166 16339 17314 18888 21249 25971 28332 32678 34628 37776 42498 49017 51942 56664 65356 69256 77913 84996 98034 103884 113328 130712 138512 147051 155826 169992 179729 196068 207768 233739 261424 294102 311652 339984 359458 392136 415536 441153 467478 539187 588204 623304 718916 784272 882306 934956 1078374 1176408 1246608 1437832 1617561 1764612 1869912 2156748 2352816 2875664 3235122 3529224 3739824 4313496 4852683 6470244 7058448 8626992 9705366 12858793 12940488 19410732 25717586 25880976 38576379 38821464 51435172 77152758 77642928 102870344 115729137 141446723 154305516 205740688 231458274 282893446 308611032 347187411 424340169 462916548 565786892 617222064 694374822 848680338 925833096 1131573784 1273020507 1388749644 1697360676 1851666192 2263147568 2546041014 2777499288 3394721352 3819061521 5092082028 5554998576 6789442704 7638123042 10184164056 15276246084 20368328112 30552492168 61104984336