Search a number
-
+
16075941073920 = 2103457213231151
BaseRepresentation
bin1110100111101111100011…
…0000011101010000000000
32002220211210222022001220000
43221323320300131100000
54101342011403331140
654105104012520000
73246306543341400
oct351737060352000
962824728261800
1016075941073920
11513884a701292
121977760180000
138c7c54739500
143d81189a4800
151cd28ad84a30
hexe9ef8c1d400

16075941073920 has 3960 divisors, whose sum is σ = 75400456462848. Its totient is φ = 3260694528000.

The previous prime is 16075941073849. The next prime is 16075941073931. The reversal of 16075941073920 is 2937014957061.

16075941073920 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 594 + 10 + 7 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 106463185845 + ... + 106463185995.

Almost surely, 216075941073920 is an apocalyptic number.

16075941073920 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 16075941073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37700228231424).

16075941073920 is an abundant number, since it is smaller than the sum of its proper divisors (59324515388928).

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

16075941073920 is a wasteful number, since it uses less digits than its factorization.

16075941073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 16075941073920 in words is "sixteen trillion, seventy-five billion, nine hundred forty-one million, seventy-three thousand, nine hundred twenty".