Search a number
-
+
16852259958480 = 2434559331133169
BaseRepresentation
bin1111010100111011100011…
…1101111110111011010000
32012200001121222020111120000
43311032320331332323100
54202101412022132410
655501453224450000
73356351466104502
oct365167075767320
965601558214500
1016852259958480
1154080044554a1
121a820b7919900
1395321349a12b
14423921bbbd72
151e3575174dc0
hexf53b8f7eed0

16852259958480 has 400 divisors, whose sum is σ = 59702710478400. Its totient is φ = 4404387778560.

The previous prime is 16852259958409. The next prime is 16852259958533. The reversal of 16852259958480 is 8485995225861.

It is a happy number.

16852259958480 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 2 + 2 + 5 + 99 + 58 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16852259958399 and 16852259958408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126481336 + ... + 126614504.

It is an arithmetic number, because the mean of its divisors is an integer number (149256776196).

Almost surely, 216852259958480 is an apocalyptic number.

16852259958480 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 16852259958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29851355239200).

16852259958480 is an abundant number, since it is smaller than the sum of its proper divisors (42850450519920).

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

16852259958480 is a wasteful number, since it uses less digits than its factorization.

16852259958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133584 (or 133569 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 16852259958480 in words is "sixteen trillion, eight hundred fifty-two billion, two hundred fifty-nine million, nine hundred fifty-eight thousand, four hundred eighty".