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61832561340 = 223511521179819
BaseRepresentation
bin111001100101100000…
…100000001010111100
312220121012212120022110
4321211200200022330
52003113113430330
644223330214020
74316161046064
oct714540401274
9186535776273
1061832561340
112424a961570
12bb97724310
135aa530b004
142dc80043a4
15191d58ddb0
hexe658202bc

61832561340 has 96 divisors (see below), whose sum is σ = 189233936640. Its totient is φ = 14960857600.

The previous prime is 61832561333. The next prime is 61832561443. The reversal of 61832561340 is 4316523816.

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, 253951 + ... + 433769.

It is an arithmetic number, because the mean of its divisors is an integer number (1971186840).

Almost surely, 261832561340 is an apocalyptic number.

61832561340 is a gapful number since it is divisible by the number (60) 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 61832561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94616968320).

61832561340 is an abundant number, since it is smaller than the sum of its proper divisors (127401375300).

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

61832561340 is a wasteful number, since it uses less digits than its factorization.

61832561340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180363 (or 180361 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 61832561340 in words is "sixty-one billion, eight hundred thirty-two million, five hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 521 660 1042 1563 2084 2605 3126 5210 5731 6252 7815 10420 11462 15630 17193 22924 28655 31260 34386 57310 68772 85965 114620 171930 179819 343860 359638 539457 719276 899095 1078914 1798190 1978009 2157828 2697285 3596380 3956018 5394570 5934027 7912036 9890045 10789140 11868054 19780090 23736108 29670135 39560180 59340270 93685699 118680540 187371398 281057097 374742796 468428495 562114194 936856990 1030542689 1124228388 1405285485 1873713980 2061085378 2810570970 3091628067 4122170756 5152713445 5621141940 6183256134 10305426890 12366512268 15458140335 20610853780 30916280670 61832561340