Search a number
-
+
39955016428080 = 243513314369113903
BaseRepresentation
bin10010001010110110000001…
…00011111010101000110000
312020110122212210101210100020
421011123000203322220300
520214110333201144310
6220551025310123440
711262440361016515
oct1105330043725060
9166418783353306
1039955016428080
111180491116a756
1245936721b0580
13193a984bb8ca0
149c1b940c530c
154944c5976170
hex2456c08faa30

39955016428080 has 640 divisors, whose sum is σ = 141107299221504. Its totient is φ = 9282354278400.

The previous prime is 39955016428057. The next prime is 39955016428147. The reversal of 39955016428080 is 8082461055993.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2873834409 + ... + 2873848311.

Almost surely, 239955016428080 is an apocalyptic number.

39955016428080 is a gapful number since it is divisible by the number (30) 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 39955016428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70553649610752).

39955016428080 is an abundant number, since it is smaller than the sum of its proper divisors (101152282793424).

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

39955016428080 is a wasteful number, since it uses less digits than its factorization.

39955016428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 39955016428080 in words is "thirty-nine trillion, nine hundred fifty-five billion, sixteen million, four hundred twenty-eight thousand, eighty".