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448933378194 = 232753671003369
BaseRepresentation
bin1101000100001101000…
…00111011100010010010
31120220202221100112120100
412202012200323202102
524323403421100234
6542123120153230
744301662516130
oct6420640734222
91526687315510
10448933378194
11163434208724
127300aa68816
1333446415bb2
1417a2ada2750
15ba277ec399
hex688683b892

448933378194 has 96 divisors (see below), whose sum is σ = 1149524887680. Its totient is φ = 123968123136.

The previous prime is 448933378189. The next prime is 448933378253. The reversal of 448933378194 is 491873339844.

448933378194 is a `hidden beast` number, since 4 + 48 + 9 + 33 + 378 + 194 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54259 + ... + 949110.

It is an arithmetic number, because the mean of its divisors is an integer number (11974217580).

Almost surely, 2448933378194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448933378194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574762443840).

448933378194 is an abundant number, since it is smaller than the sum of its proper divisors (700591509486).

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

448933378194 is a wasteful number, since it uses less digits than its factorization.

448933378194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003504 (or 1003501 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 448933378194 in words is "four hundred forty-eight billion, nine hundred thirty-three million, three hundred seventy-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 67 106 126 134 159 201 318 371 402 469 477 603 742 938 954 1113 1206 1407 2226 2814 3339 3551 4221 6678 7102 8442 10653 21306 24857 31959 49714 63918 74571 149142 223713 447426 1003369 2006738 3010107 6020214 7023583 9030321 14047166 18060642 21070749 42141498 53178557 63212247 67225723 106357114 126424494 134451446 159535671 201677169 319071342 372249899 403354338 470580061 478607013 605031507 744499798 941160122 957214026 1116749697 1210063014 1411740183 2233499394 2823480366 3350249091 3562963319 4235220549 6700498182 7125926638 8470441098 10688889957 21377779914 24940743233 32066669871 49881486466 64133339742 74822229699 149644459398 224466689097 448933378194