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445630677040 = 24519503582859
BaseRepresentation
bin1100111110000011010…
…10001000000000110000
31120121020202201221022101
412133001222020000300
524300122423131130
6540415255550144
744124100153603
oct6370152100060
91517222657271
10445630677040
11161a9999943a
127244898b354
133303b0c9263
14177d64c233a
15b8d28b41ca
hex67c1a88030

445630677040 has 80 divisors (see below), whose sum is σ = 1092792556800. Its totient is φ = 168534556416.

The previous prime is 445630677017. The next prime is 445630677043. The reversal of 445630677040 is 40776036544.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (445630677043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473131 + ... + 1055989.

It is an arithmetic number, because the mean of its divisors is an integer number (13659906960).

Almost surely, 2445630677040 is an apocalyptic number.

445630677040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445630677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546396278400).

445630677040 is an abundant number, since it is smaller than the sum of its proper divisors (647161879760).

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

445630677040 is a wasteful number, since it uses less digits than its factorization.

445630677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583394 (or 583388 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 445630677040 in words is "four hundred forty-five billion, six hundred thirty million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 503 760 1006 1520 2012 2515 4024 5030 8048 9557 10060 19114 20120 38228 40240 47785 76456 95570 152912 191140 382280 582859 764560 1165718 2331436 2914295 4662872 5828590 9325744 11074321 11657180 22148642 23314360 44297284 46628720 55371605 88594568 110743210 177189136 221486420 293178077 442972840 586356154 885945680 1172712308 1465890385 2345424616 2931780770 4690849232 5570383463 5863561540 11140766926 11727123080 22281533852 23454246160 27851917315 44563067704 55703834630 89126135408 111407669260 222815338520 445630677040