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448701493856 = 25721126014697
BaseRepresentation
bin1101000011110001011…
…00010111001001100000
31120220011210000121001112
412201320230113021200
524322420040300411
6542044114122452
744263145524400
oct6417054271140
91526153017045
10448701493856
11163325328580
1272b65280428
133340a377025
1417a08280800
15ba12295b8b
hex6878b17260

448701493856 has 72 divisors (see below), whose sum is σ = 1121025366216. Its totient is φ = 174818757120.

The previous prime is 448701493853. The next prime is 448701493859. The reversal of 448701493856 is 658394107844.

It is an interprime number because it is at equal distance from previous prime (448701493853) and next prime (448701493859).

It is a junction number, because it is equal to n+sod(n) for n = 448701493795 and 448701493804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448701493853) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12990101 + ... + 13024596.

It is an arithmetic number, because the mean of its divisors is an integer number (15569796753).

Almost surely, 2448701493856 is an apocalyptic number.

It is an amenable number.

448701493856 is an abundant number, since it is smaller than the sum of its proper divisors (672323872360).

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

448701493856 is a wasteful number, since it uses less digits than its factorization.

448701493856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26014732 (or 26014717 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 448701493856 in words is "four hundred forty-eight billion, seven hundred one million, four hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 26014697 52029394 104058788 182102879 208117576 286161667 364205758 416235152 572323334 728411516 832470304 1144646668 1274720153 1456823032 2003131669 2289293336 2549440306 2913646064 4006263338 4578586672 5098880612 5827292128 8012526676 9157173344 10197761224 14021921683 16025053352 20395522448 28043843366 32050106704 40791044896 56087686732 64100213408 112175373464 224350746928 448701493856