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6116461344 = 253274173999
BaseRepresentation
bin1011011001001000…
…11100101100100000
3120210021012102121100
411230210130230200
5100011303230334
62450532554400
7304400030550
oct55444345440
916707172540
106116461344
112659645a34
121228482a00
137662540c6
14420487160
1525be8ec99
hex16c91cb20

6116461344 has 144 divisors (see below), whose sum is σ = 20363616000. Its totient is φ = 1704913920.

The previous prime is 6116461333. The next prime is 6116461349. The reversal of 6116461344 is 4431646116.

6116461344 is a `hidden beast` number, since 6 + 1 + 1 + 646 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×61164613442 = 74822198745292572672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6116461299 and 6116461308.

It is not an unprimeable number, because it can be changed into a prime (6116461349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45657 + ... + 119655.

It is an arithmetic number, because the mean of its divisors is an integer number (141414000).

Almost surely, 26116461344 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 6116461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808000).

6116461344 is an abundant number, since it is smaller than the sum of its proper divisors (14247154656).

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

6116461344 is a wasteful number, since it uses less digits than its factorization.

6116461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74063 (or 74052 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6116461344 is about 78207.8087149870. The cubic root of 6116461344 is about 1828.8022404980.

The spelling of 6116461344 in words is "six billion, one hundred sixteen million, four hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 73999 82656 147998 221997 295996 443994 517993 591992 665991 887988 1035986 1183984 1331982 1553979 1775976 2071972 2367968 2663964 3033959 3107958 3551952 4143944 4661937 5327928 6067918 6215916 7103904 8287888 9101877 9323874 10655856 12135836 12431832 16575776 18203754 18647748 21237713 21311712 24271672 24863664 27305631 36407508 37295496 42475426 48543344 49727328 54611262 63713139 72815016 74590992 84950852 97086688 109222524 127426278 145630032 149181984 169901704 191139417 218445048 254852556 291260064 339803408 382278834 436890096 509705112 679606816 764557668 873780192 1019410224 1529115336 2038820448 3058230672 6116461344