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40649831151552 = 2632731311570619
BaseRepresentation
bin10010011111000100001101…
…01111101111011111000000
312022221002022121212211220100
421033202012233233133000
520312001323233322202
6222242135153042400
711363565465513000
oct1117420657573700
9168832277784810
1040649831151552
1111a52550a45347
124686262256400
13198b354cc685c
14a0766889a000
154a75de6ca41c
hex24f886bef7c0

40649831151552 has 336 divisors, whose sum is σ = 136915343136000. Its totient is φ = 11525571832320.

The previous prime is 40649831151551. The next prime is 40649831151583. The reversal of 40649831151552 is 25515113894604.

40649831151552 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 9 + 8 + 31 + 1 + 51 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40649831151551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25096099 + ... + 26666717.

Almost surely, 240649831151552 is an apocalyptic number.

40649831151552 is a gapful number since it is divisible by the number (42) 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 40649831151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68457671568000).

40649831151552 is an abundant number, since it is smaller than the sum of its proper divisors (96265511984448).

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

40649831151552 is a wasteful number, since it uses less digits than its factorization.

40649831151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570789 (or 1570762 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 40649831151552 in words is "forty trillion, six hundred forty-nine billion, eight hundred thirty-one million, one hundred fifty-one thousand, five hundred fifty-two".