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2740418688 = 27372145643
BaseRepresentation
bin1010001101010111…
…0111100010000000
321001222120200201110
42203111313202000
521103021344223
61131532403320
7124624113600
oct24325674200
97058520643
102740418688
111186993137
12645916540
13348998a27
141bdd54c00
151108bad93
hexa3577880

2740418688 has 96 divisors (see below), whose sum is σ = 8467742160. Its totient is φ = 782971392.

The previous prime is 2740418687. The next prime is 2740418699. The reversal of 2740418688 is 8868140472.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2740418687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54006 + ... + 91637.

Almost surely, 22740418688 is an apocalyptic number.

2740418688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2740418688 is an abundant number, since it is smaller than the sum of its proper divisors (5727323472).

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

2740418688 is a wasteful number, since it uses less digits than its factorization.

2740418688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145674 (or 145655 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 2740418688 is about 52349.0084719854. The cubic root of 2740418688 is about 1399.3906681680.

The spelling of 2740418688 in words is "two billion, seven hundred forty million, four hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 145643 291286 436929 582572 873858 1019501 1165144 1747716 2039002 2330288 3058503 3495432 4078004 4660576 6117006 6990864 7136507 8156008 9321152 12234012 13981728 14273014 16312016 18642304 21409521 24468024 27963456 28546028 32624032 42819042 48936048 55926912 57092056 65248064 85638084 97872096 114184112 130496128 171276168 195744192 228368224 342552336 391488384 456736448 685104672 913472896 1370209344 2740418688