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19375248061 = 1337731972801
BaseRepresentation
bin10010000010110110…
…101101001010111101
31212000021221120201001
4102002312231022331
5304140030414221
612522330450301
71254064614451
oct220266551275
955007846631
1019375248061
118242905704
123908893991
131a9a123a30
14d1b338661
15785eae391
hex482dad2bd

19375248061 has 32 divisors (see below), whose sum is σ = 21841208928. Its totient is φ = 17069875200.

The previous prime is 19375248059. The next prime is 19375248071. The reversal of 19375248061 is 16084257391.

It can be written as a sum of positive squares in 16 ways, for example, as 36 + 19375248025 = 6^2 + 139195^2 .

It is a 7-Lehmer number, since φ(19375248061) divides (19375248061-1)7.

It is a cyclic number.

It is not a de Polignac number, because 19375248061 - 21 = 19375248059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19375248071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915861 + ... + 6918661.

It is an arithmetic number, because the mean of its divisors is an integer number (682537779).

It is a 2-persistent number, because it is pandigital, and so is 2⋅19375248061 = 38750496122, but 3⋅19375248061 = 58125744183 is not.

Almost surely, 219375248061 is an apocalyptic number.

It is an amenable number.

19375248061 is a deficient number, since it is larger than the sum of its proper divisors (2465960867).

19375248061 is a wasteful number, since it uses less digits than its factorization.

19375248061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 19375248061 in words is "nineteen billion, three hundred seventy-five million, two hundred forty-eight thousand, sixty-one".

Divisors: 1 13 37 73 197 481 949 2561 2701 2801 7289 14381 35113 36413 94757 103637 186953 204473 532097 551797 1347281 2658149 6917261 7173361 7565501 20416489 40281181 98351513 265414357 523655353 1490403697 19375248061