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1664037154032 = 2431131373497873
BaseRepresentation
bin11000001101110000010…
…101111110110011110000
312220002011121110221220220
4120031300111332303300
5204230422002412112
63312240443133040
7231136251301101
oct30156025766360
95802147427826
101664037154032
11591794657090
1222a602814180
13c0bc1bb2c66
145a77b4063a8
152d44349a98c
hex1837057ecf0

1664037154032 has 320 divisors, whose sum is σ = 4986547507200. Its totient is φ = 473377996800.

The previous prime is 1664037154019. The next prime is 1664037154061. The reversal of 1664037154032 is 2304517304661.

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, 211356048 + ... + 211363920.

It is an arithmetic number, because the mean of its divisors is an integer number (15582960960).

Almost surely, 21664037154032 is an apocalyptic number.

1664037154032 is a gapful number since it is divisible by the number (12) 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 1664037154032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493273753600).

1664037154032 is an abundant number, since it is smaller than the sum of its proper divisors (3322510353168).

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

1664037154032 is a wasteful number, since it uses less digits than its factorization.

1664037154032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1664037154032 in words is "one trillion, six hundred sixty-four billion, thirty-seven million, one hundred fifty-four thousand, thirty-two".