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445517893416 = 233231994055767
BaseRepresentation
bin1100111101110101110…
…11111000111100101000
31120120221220111221021010
412132322323320330220
524244410040042131
6540400150343520
744121230416431
oct6367273707450
91516856457233
10445517893416
11161a41266432
127241705aba0
133302092ab9b
14177c5524488
15b8c7a36b46
hex67baef8f28

445517893416 has 64 divisors (see below), whose sum is σ = 1168061184000. Its totient is φ = 141335333568.

The previous prime is 445517893253. The next prime is 445517893451. The reversal of 445517893416 is 614398715544.

It is a super-2 number, since 2×4455178934162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918036 + ... + 2137731.

It is an arithmetic number, because the mean of its divisors is an integer number (18250956000).

Almost surely, 2445517893416 is an apocalyptic number.

445517893416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

445517893416 is an abundant number, since it is smaller than the sum of its proper divisors (722543290584).

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

445517893416 is a wasteful number, since it uses less digits than its factorization.

445517893416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055998 (or 4055994 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 445517893416 in words is "four hundred forty-five billion, five hundred seventeen million, eight hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 1194 1592 2388 4577 4776 9154 13731 18308 27462 36616 54924 109848 4055767 8111534 12167301 16223068 24334602 32446136 48669204 93282641 97338408 186565282 279847923 373130564 559695846 746261128 807097633 1119391692 1614195266 2238783384 2421292899 3228390532 4842585798 6456781064 9685171596 18563245559 19370343192 37126491118 55689736677 74252982236 111379473354 148505964472 222758946708 445517893416