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445912397742 = 237232713115477
BaseRepresentation
bin1100111110100100111…
…00110011011110101110
31120121222101211211110110
412133102130303132232
524301212033211432
6540503242120450
744134060562010
oct6372234633656
91517871754413
10445912397742
11162123a18369
12725071b0126
1333084596bb6
1417821a981b0
15b8ec4b1dcc
hex67d27337ae

445912397742 has 128 divisors (see below), whose sum is σ = 1071095021568. Its totient is φ = 121002076800.

The previous prime is 445912397701. The next prime is 445912397743. The reversal of 445912397742 is 247793219544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445912397743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81412708 + ... + 81418184.

It is an arithmetic number, because the mean of its divisors is an integer number (8367929856).

Almost surely, 2445912397742 is an apocalyptic number.

445912397742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 445912397742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535547510784).

445912397742 is an abundant number, since it is smaller than the sum of its proper divisors (625182623826).

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

445912397742 is a wasteful number, since it uses less digits than its factorization.

445912397742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094.

The product of its digits is 15240960, while the sum is 57.

The spelling of 445912397742 in words is "four hundred forty-five billion, nine hundred twelve million, three hundred ninety-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 271 311 322 483 542 622 813 933 966 1626 1866 1897 2177 3794 4354 5477 5691 6233 6531 7153 10954 11382 12466 13062 14306 16431 18699 21459 32862 37398 38339 42918 43631 50071 76678 84281 87262 100142 115017 125971 130893 150213 168562 230034 251942 252843 261786 300426 377913 505686 589967 755826 881797 1179934 1484267 1703347 1763594 1769901 1938463 2645391 2968534 3406694 3539802 3876926 4452801 5110041 5290782 5815389 8905602 10220082 10389869 11630778 11923429 13569241 20779738 23846858 27138482 31169607 34138141 35770287 39176981 40707723 62339214 68276282 71540574 78353962 81415446 102414423 117530943 204828846 235061886 238966987 274238867 461607037 477933974 548477734 716900961 822716601 923214074 1384821111 1433801922 1645433202 2769642222 3231249259 6462498518 9693747777 10616961851 19387495554 21233923702 31850885553 63701771106 74318732957 148637465914 222956198871 445912397742