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3678361056 = 253297131671
BaseRepresentation
bin1101101100111111…
…0101010111100000
3100111100111002202200
43123033311113200
530013130023211
61405000013200
7160103360466
oct33317652740
910440432680
103678361056
111618380117
12867a61200
134680b8506
1426c74a836
15167ddeb56
hexdb3f55e0

3678361056 has 72 divisors (see below), whose sum is σ = 10568258064. Its totient is φ = 1213470720.

The previous prime is 3678361019. The next prime is 3678361091. The reversal of 3678361056 is 6501638763.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37900 + ... + 93771.

It is an arithmetic number, because the mean of its divisors is an integer number (146781362).

Almost surely, 23678361056 is an apocalyptic number.

3678361056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3678361056 is an abundant number, since it is smaller than the sum of its proper divisors (6889897008).

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

3678361056 is a wasteful number, since it uses less digits than its factorization.

3678361056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131784 (or 131773 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3678361056 is about 60649.4934521303. The cubic root of 3678361056 is about 1543.6592937553.

The spelling of 3678361056 in words is "three billion, six hundred seventy-eight million, three hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 131671 263342 395013 526684 790026 1053368 1185039 1580052 2106736 2370078 3160104 4213472 4740156 6320208 9480312 12640416 12772087 18960624 25544174 37921248 38316261 51088348 76632522 102176696 114948783 153265044 204353392 229897566 306530088 408706784 459795132 613060176 919590264 1226120352 1839180528 3678361056