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3673324894464 = 2832399292
BaseRepresentation
bin110101011101000011001…
…110011011100100000000
3111000011111022211220120100
4311131003032123210000
5440140432133110324
611451300244442400
7526250262266451
oct65350316334400
914004438756510
103673324894464
111196937159805
124b3ab90a9400
132085156c2214
14c9b0b5ad128
1565841a414c9
hex3574339b900

3673324894464 has 81 divisors (see below), whose sum is σ = 10591366502353. Its totient is φ = 1224410966016.

The previous prime is 3673324894433. The next prime is 3673324894471. The reversal of 3673324894464 is 4644984233763.

The square root of 3673324894464 is 1916592.

It is a perfect power (a square), and thus also a powerful number.

3673324894464 is a `hidden beast` number, since 3 + 6 + 73 + 3 + 24 + 89 + 4 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 915068254464 + 2758256640000 = 956592^2 + 1660800^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 91976452 + ... + 92016380.

Almost surely, 23673324894464 is an apocalyptic number.

3673324894464 is the 1916592-nd square number.

It is an amenable number.

3673324894464 is an abundant number, since it is smaller than the sum of its proper divisors (6918041607889).

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

3673324894464 is an frugal number, since it uses more digits than its factorization.

3673324894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79880 (or 39934 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 63.

The spelling of 3673324894464 in words is "three trillion, six hundred seventy-three billion, three hundred twenty-four million, eight hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 39929 79858 119787 159716 239574 319432 359361 479148 638864 718722 958296 1277728 1437444 1916592 2555456 2874888 3833184 5110912 5749776 7666368 10221824 11499552 15332736 22999104 30665472 45998208 91996416 1594325041 3188650082 4782975123 6377300164 9565950246 12754600328 14348925369 19131900492 25509200656 28697850738 38263800984 51018401312 57395701476 76527601968 102036802624 114791402952 153055203936 204073605248 229582805904 306110407872 408147210496 459165611808 612220815744 918331223616 1224441631488 1836662447232 3673324894464