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39463640832 = 28371121931103
BaseRepresentation
bin100100110000001101…
…110101111100000000
310202212021210200001010
4210300031311330000
51121310143001312
630043534440520
72564642261310
oct446015657400
9122767720033
1039463640832
1115811218500
127794363140
13394bc09b85
141ca526d440
15105e88a93c
hex930375f00

39463640832 has 864 divisors, whose sum is σ = 144755752960. Its totient is φ = 9306316800.

The previous prime is 39463640809. The next prime is 39463640837. The reversal of 39463640832 is 23804636493.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39463640837) 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, 383142093 + ... + 383142195.

Almost surely, 239463640832 is an apocalyptic number.

39463640832 is a gapful number since it is divisible by the number (32) 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 39463640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72377876480).

39463640832 is an abundant number, since it is smaller than the sum of its proper divisors (105292112128).

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

39463640832 is a wasteful number, since it uses less digits than its factorization.

39463640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 39463640832 in words is "thirty-nine billion, four hundred sixty-three million, six hundred forty thousand, eight hundred thirty-two".