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673982060544 = 21132134365413
BaseRepresentation
bin10011100111011000111…
…01100001100000000000
32101102122222011010111200
421303230131201200000
542020303401414134
61233342330341200
766456621663432
oct11635435414000
92342588133450
10673982060544
1123a91a3366a1
12aa75728a800
134b730084cb0
1424899aa0652
15127e9d5d499
hex9cec761800

673982060544 has 288 divisors, whose sum is σ = 2145105602640. Its totient is φ = 202553229312.

The previous prime is 673982060539. The next prime is 673982060581. The reversal of 673982060544 is 445060289376.

673982060544 is a `hidden beast` number, since 6 + 7 + 3 + 9 + 8 + 20 + 605 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10270782 + ... + 10336194.

Almost surely, 2673982060544 is an apocalyptic number.

673982060544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673982060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072552801320).

673982060544 is an abundant number, since it is smaller than the sum of its proper divisors (1471123542096).

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

673982060544 is a wasteful number, since it uses less digits than its factorization.

673982060544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65497 (or 65474 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 673982060544 in words is "six hundred seventy-three billion, nine hundred eighty-two million, sixty thousand, five hundred forty-four".