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44668303680 = 263571113234347
BaseRepresentation
bin101001100110011100…
…000011100101000000
311021022000021221020210
4221212130003211000
51212440041204210
632304220434120
73140631213420
oct514634034500
9137260257223
1044668303680
1117a42102760
1287a73a8940
13429b296230
14223a5a8480
15126676ce20
hexa66703940

44668303680 has 1792 divisors, whose sum is σ = 207644000256. Its totient is φ = 7834337280.

The previous prime is 44668303679. The next prime is 44668303681. The reversal of 44668303680 is 8630386644.

It is an interprime number because it is at equal distance from previous prime (44668303679) and next prime (44668303681).

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 (44668303681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 950389417 + ... + 950389463.

It is an arithmetic number, because the mean of its divisors is an integer number (115872768).

Almost surely, 244668303680 is an apocalyptic number.

44668303680 is a gapful number since it is divisible by the number (40) 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 44668303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822000128).

44668303680 is an abundant number, since it is smaller than the sum of its proper divisors (162975696576).

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

44668303680 is a wasteful number, since it uses less digits than its factorization.

44668303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 44668303680 in words is "forty-four billion, six hundred sixty-eight million, three hundred three thousand, six hundred eighty".