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146015227045660 = 2257231009252117827
BaseRepresentation
bin100001001100110011010001…
…101111010110011100011100
3201010222220211020011011021111
4201030303101233112130130
5123114303141110430120
61234314245210311404
742520152305406340
oct4114632157263434
9633886736134244
10146015227045660
114258578a070455
1214462890128564
13636223b652b8b
14280b263523620
1511d32d018675a
hex84ccd1bd671c

146015227045660 has 192 divisors, whose sum is σ = 366201062922240. Its totient is φ = 47816622120960.

The previous prime is 146015227045651. The next prime is 146015227045703. The reversal of 146015227045660 is 66540722510641.

146015227045660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8190669667 + ... + 8190687493.

It is an arithmetic number, because the mean of its divisors is an integer number (1907297202720).

Almost surely, 2146015227045660 is an apocalyptic number.

146015227045660 is a gapful number since it is divisible by the number (10) 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 146015227045660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183100531461120).

146015227045660 is an abundant number, since it is smaller than the sum of its proper divisors (220185835876580).

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

146015227045660 is a wasteful number, since it uses less digits than its factorization.

146015227045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21396 (or 21394 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 146015227045660 in words is "one hundred forty-six trillion, fifteen billion, two hundred twenty-seven million, forty-five thousand, six hundred sixty".