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43427602400496 = 243173143163244939
BaseRepresentation
bin10011101111111010001101…
…10100001000010011110000
312200202122020021112212220220
421313331012310020103300
521143004212203303441
6232210210511133040
712101353320532506
oct1167750664102360
9180678207485826
1043427602400496
11129235a7444186
124a54688214180
131b30289172952
14aa1c9b3c6676
155049b9233466
hex277f46d084f0

43427602400496 has 320 divisors, whose sum is σ = 126240994344960. Its totient is φ = 12799166607360.

The previous prime is 43427602400449. The next prime is 43427602400509. The reversal of 43427602400496 is 69400420672434.

43427602400496 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177177195 + ... + 177422133.

It is an arithmetic number, because the mean of its divisors is an integer number (394503107328).

Almost surely, 243427602400496 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 43427602400496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63120497172480).

43427602400496 is an abundant number, since it is smaller than the sum of its proper divisors (82813391944464).

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

43427602400496 is a wasteful number, since it uses less digits than its factorization.

43427602400496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245204 (or 245198 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 43427602400496 in words is "forty-three trillion, four hundred twenty-seven billion, six hundred two million, four hundred thousand, four hundred ninety-six".