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40998838608 = 24337213383389
BaseRepresentation
bin100110001011101110…
…001010000101010000
310220211021112210111000
4212023232022011100
51132431200313413
630500135222000
72650663243500
oct461356120520
9126737483430
1040998838608
11164298592a2
127b42517900
133b34ca3c20
141dad0d5a00
1510ee539073
hex98bb8a150

40998838608 has 480 divisors, whose sum is σ = 148190515200. Its totient is φ = 10756924416.

The previous prime is 40998838607. The next prime is 40998838619. The reversal of 40998838608 is 80683889904.

40998838608 is a `hidden beast` number, since 409 + 98 + 83 + 8 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40998838607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105395278 + ... + 105395666.

It is an arithmetic number, because the mean of its divisors is an integer number (308730240).

Almost surely, 240998838608 is an apocalyptic number.

40998838608 is a gapful number since it is divisible by the number (48) 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 40998838608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74095257600).

40998838608 is an abundant number, since it is smaller than the sum of its proper divisors (107191676592).

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

40998838608 is a wasteful number, since it uses less digits than its factorization.

40998838608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 40998838608 in words is "forty billion, nine hundred ninety-eight million, eight hundred thirty-eight thousand, six hundred eight".