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378815630656 = 2637159972817
BaseRepresentation
bin1011000001100110010…
…10111100110101000000
31100012210022102220102211
411200303022330311000
522201303300140111
6450005301351504
736240255506161
oct5406312746500
91305708386384
10378815630656
11136722603141
1261500708594
1329950782958
1414498899768
159cc1bcd521
hex58332bcd40

378815630656 has 28 divisors (see below), whose sum is σ = 772028819668. Its totient is φ = 184288684032.

The previous prime is 378815630621. The next prime is 378815630701. The reversal of 378815630656 is 656036518873.

It can be written as a sum of positive squares in 2 ways, for example, as 338975470656 + 39840160000 = 582216^2 + 199600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378815630656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79984041 + ... + 79988776.

Almost surely, 2378815630656 is an apocalyptic number.

It is an amenable number.

378815630656 is an abundant number, since it is smaller than the sum of its proper divisors (393213189012).

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

378815630656 is a wasteful number, since it uses less digits than its factorization.

378815630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159972866 (or 159972856 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 378815630656 in words is "three hundred seventy-eight billion, eight hundred fifteen million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 159972817 319945634 639891268 1279782536 2559565072 5119130144 5918994229 10238260288 11837988458 23675976916 47351953832 94703907664 189407815328 378815630656