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40487196672 = 2113213198893
BaseRepresentation
bin100101101101001110…
…011001100000000000
310212111121210200200200
4211231032121200000
51130404210243142
630333301045200
72632211331156
oct455516314000
9125447720620
1040487196672
1116196a7011a
127a1b0b6800
133a82ca3b10
141d6118d3d6
1510be67164c
hex96d399800

40487196672 has 288 divisors, whose sum is σ = 132572185200. Its totient is φ = 11800608768.

The previous prime is 40487196667. The next prime is 40487196713. The reversal of 40487196672 is 27669178404.

40487196672 is a `hidden beast` number, since 4 + 0 + 487 + 1 + 96 + 6 + 72 = 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, 4548258 + ... + 4557150.

Almost surely, 240487196672 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 40487196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66286092600).

40487196672 is an abundant number, since it is smaller than the sum of its proper divisors (92084988528).

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

40487196672 is a wasteful number, since it uses less digits than its factorization.

40487196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8953 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40487196672 in words is "forty billion, four hundred eighty-seven million, one hundred ninety-six thousand, six hundred seventy-two".