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4016973312 = 293211194397
BaseRepresentation
bin1110111101101110…
…0010011000000000
3101100221122101110100
43233123202120000
531211321121222
61502333402400
7201354465312
oct35733423000
911327571410
104016973312
111781527560
12941339400
134c02b52b1
142a16d17b2
151879c94ac
hexef6e2600

4016973312 has 480 divisors, whose sum is σ = 13762869120. Its totient is φ = 1114767360.

The previous prime is 4016973271. The next prime is 4016973361. The reversal of 4016973312 is 2133796104.

It is a super-2 number, since 2×40169733122 = 32272149178640498688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41412048 + ... + 41412144.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 24016973312 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 4016973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881434560).

4016973312 is an abundant number, since it is smaller than the sum of its proper divisors (9745895808).

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

4016973312 is a wasteful number, since it uses less digits than its factorization.

4016973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4016973312 is about 63379.5969693718. The cubic root of 4016973312 is about 1589.6431713800.

The spelling of 4016973312 in words is "four billion, sixteen million, nine hundred seventy-three thousand, three hundred twelve".