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673376673376 = 251110119139901
BaseRepresentation
bin10011100110010000110…
…00001001111001100000
32101101002210000021102201
421303020120021321200
542013033412022001
61233202303022544
766435621166321
oct11631030117140
92341083007381
10673376673376
1123a639639320
12aa60859aa54
134b664821334
142483d514448
15127b1b29501
hex9cc8609e60

673376673376 has 96 divisors (see below), whose sum is σ = 1461459627936. Its totient is φ = 302860800000.

The previous prime is 673376673371. The next prime is 673376673377.

It is a happy number.

673376673376 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6733766733762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673376673371) 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, 68006026 + ... + 68015926.

It is an arithmetic number, because the mean of its divisors is an integer number (15223537791).

Almost surely, 2673376673376 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 673376673376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730729813968).

673376673376 is an abundant number, since it is smaller than the sum of its proper divisors (788082954560).

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

673376673376 is a wasteful number, since it uses less digits than its factorization.

673376673376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11928 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 64.

The spelling of 673376673376 in words is "six hundred seventy-three billion, three hundred seventy-six million, six hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 1913 2222 3232 3826 4444 7652 8888 9901 15304 17776 19802 21043 30608 35552 39604 42086 61216 79208 84172 108911 158416 168344 193213 217822 316832 336688 386426 435644 673376 772852 871288 1000001 1545704 1742576 2000002 2125343 3091408 3485152 4000004 4250686 6182816 8000008 8501372 11000011 16000016 17002744 18940613 22000022 32000032 34005488 37881226 44000044 68010976 75762452 88000088 151524904 176000176 208346743 303049808 352000352 416693486 606099616 833386972 1666773944 1913001913 3333547888 3826003826 6667095776 7652007652 15304015304 21043021043 30608030608 42086042086 61216061216 84172084172 168344168344 336688336688 673376673376