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445159036448 = 25779227110819
BaseRepresentation
bin1100111101001011000…
…10111101011000100000
31120120000220021010001022
412132211202331120200
524243141203131243
6540300411025012
744106312243260
oct6364542753040
91516026233038
10445159036448
11161877741925
1272336a3b168
1332c94493499
141778d9cd7a0
15b8a629db68
hex67a58bd620

445159036448 has 96 divisors (see below), whose sum is σ = 1018763827200. Its totient is φ = 187535971584.

The previous prime is 445159036397. The next prime is 445159036453. The reversal of 445159036448 is 844630951544.

It is a self number, because there is not a number n which added to its sum of digits gives 445159036448.

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 15 ways as a sum of consecutive naturals, for example, 3961583 + ... + 4072401.

It is an arithmetic number, because the mean of its divisors is an integer number (10612123200).

Almost surely, 2445159036448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445159036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509381913600).

445159036448 is an abundant number, since it is smaller than the sum of its proper divisors (573604790752).

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

445159036448 is a wasteful number, since it uses less digits than its factorization.

445159036448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111142 (or 111134 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 445159036448 in words is "four hundred forty-five billion, one hundred fifty-nine million, thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 227 316 454 553 632 908 1106 1264 1589 1816 2212 2528 3178 3632 4424 6356 7264 8848 12712 17696 17933 25424 35866 50848 71732 110819 125531 143464 221638 251062 286928 443276 502124 573856 775733 886552 1004248 1551466 1773104 2008496 3102932 3546208 4016992 6205864 8754701 12411728 17509402 24823456 25155913 35018804 50311826 61282907 70037608 100623652 122565814 140075216 176091391 201247304 245131628 280150432 352182782 402494608 490263256 704365564 804989216 980526512 1408731128 1961053024 1987317127 2817462256 3974634254 5634924512 7949268508 13911219889 15898537016 27822439778 31797074032 55644879556 63594148064 111289759112 222579518224 445159036448