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146681348133336 = 2337575438067823
BaseRepresentation
bin100001010110011111101001…
…101001101001000111011000
3201020100121012100111111020220
4201112133221221221013120
5123211211400110231321
61235544251525120040
742616243355261622
oct4126375151510730
9636317170444226
10146681348133336
1142812235056855
121454b9b2859020
1363accb7c21323
1428315b5189c12
1511e57b9d0c9c6
hex8567e9a691d8

146681348133336 has 32 divisors (see below), whose sum is σ = 366703899855360. Its totient is φ = 48893712108192.

The previous prime is 146681348133319. The next prime is 146681348133409. The reversal of 146681348133336 is 633331843186641.

146681348133336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146681348133336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14147121 + ... + 22214943.

It is an arithmetic number, because the mean of its divisors is an integer number (11459496870480).

Almost surely, 2146681348133336 is an apocalyptic number.

It is an amenable number.

146681348133336 is an abundant number, since it is smaller than the sum of its proper divisors (220022551722024).

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

146681348133336 is a wasteful number, since it uses less digits than its factorization.

146681348133336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825375 (or 8825371 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 60.

The spelling of 146681348133336 in words is "one hundred forty-six trillion, six hundred eighty-one billion, three hundred forty-eight million, one hundred thirty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 757543 1515086 2272629 3030172 4545258 6060344 8067823 9090516 16135646 18181032 24203469 32271292 48406938 64542584 96813876 193627752 6111722838889 12223445677778 18335168516667 24446891355556 36670337033334 48893782711112 73340674066668 146681348133336