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44451948138208 = 25133831873148957
BaseRepresentation
bin10100001101101110001101…
…00101000000111011100000
312211101120020200202221002021
422012313012211000323200
521311300042210410313
6234312535411231224
712235355466614632
oct1206670645007340
9184346220687067
1044451948138208
1113188a68956166
124b9b1035a8514
131ba5a5425a940
14ad96b2d46a52
1552146ced178d
hex286dc6940ee0

44451948138208 has 96 divisors (see below), whose sum is σ = 94543838032896. Its totient is φ = 20451654033408.

The previous prime is 44451948138193. The next prime is 44451948138209. The reversal of 44451948138208 is 80283184915444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44451948138209) 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, 298346866 + ... + 298495822.

It is an arithmetic number, because the mean of its divisors is an integer number (984831646176).

Almost surely, 244451948138208 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 44451948138208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47271919016448).

44451948138208 is an abundant number, since it is smaller than the sum of its proper divisors (50091889894688).

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

44451948138208 is a wasteful number, since it uses less digits than its factorization.

44451948138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151236 (or 151228 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 61.

The spelling of 44451948138208 in words is "forty-four trillion, four hundred fifty-one billion, nine hundred forty-eight million, one hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 383 416 766 1532 1873 3064 3746 4979 6128 7492 9958 12256 14984 19916 24349 29968 39832 48698 59936 79664 97396 148957 159328 194792 297914 389584 595828 717359 779168 1191656 1434718 1936441 2383312 2869436 3872882 4766624 5738872 7745764 9325667 11477744 15491528 18651334 22955488 30983056 37302668 57050531 61966112 74605336 114101062 149210672 228202124 278996461 298421344 456404248 557992922 741656903 912808496 1115985844 1483313806 1825616992 2231971688 2966627612 3626953993 4463943376 5933255224 7253907986 8927886752 11866510448 14507815972 23733020896 29015631944 58031263888 106855644563 116062527776 213711289126 427422578252 854845156504 1389123379319 1709690313008 2778246758638 3419380626016 5556493517276 11112987034552 22225974069104 44451948138208