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243978200928 = 25337112734567
BaseRepresentation
bin1110001100111000111…
…0111110011101100000
3212022202021000202202000
43203032032332131200
512444131404412203
6304025415324000
723425002330150
oct3431616763540
9768667022660
10243978200928
119451a374500
123b34b980600
131a01262cb87
14bb46b6a760
15652e3274a3
hex38ce3be760

243978200928 has 576 divisors, whose sum is σ = 906358440960. Its totient is φ = 62489180160.

The previous prime is 243978200927. The next prime is 243978200929. The reversal of 243978200928 is 829002879342.

It is a happy number.

243978200928 is a `hidden beast` number, since 24 + 397 + 8 + 200 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (243978200927) and next prime (243978200929).

It is a super-2 number, since 2×2439782009282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243978200927) 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, 53419701 + ... + 53424267.

It is an arithmetic number, because the mean of its divisors is an integer number (1573538960).

Almost surely, 2243978200928 is an apocalyptic number.

243978200928 is a gapful number since it is divisible by the number (28) 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 243978200928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453179220480).

243978200928 is an abundant number, since it is smaller than the sum of its proper divisors (662380240032).

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

243978200928 is a wasteful number, since it uses less digits than its factorization.

243978200928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 243978200928 in words is "two hundred forty-three billion, nine hundred seventy-eight million, two hundred thousand, nine hundred twenty-eight".