Search a number
-
+
19960076538 = 234597328607
BaseRepresentation
bin10010100101101101…
…101001100011111010
31220112001101221120000
4102211231221203322
5311334234422123
613100341413430
71304425564653
oct224555514372
956461357500
1019960076538
118512a40a26
123a5070a276
131b61339b9c
14d74c9252a
157bc4d1b43
hex4a5b698fa

19960076538 has 80 divisors (see below), whose sum is σ = 46108085760. Its totient is φ = 6450767424.

The previous prime is 19960076519. The next prime is 19960076551. The reversal of 19960076538 is 83567006991.

19960076538 is a `hidden beast` number, since 19 + 96 + 0 + 0 + 7 + 6 + 538 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 683431 + ... + 712037.

It is an arithmetic number, because the mean of its divisors is an integer number (576351072).

Almost surely, 219960076538 is an apocalyptic number.

19960076538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19960076538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23054042880).

19960076538 is an abundant number, since it is smaller than the sum of its proper divisors (26148009222).

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

19960076538 is a wasteful number, since it uses less digits than its factorization.

19960076538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28753 (or 28744 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 19960076538 in words is "nineteen billion, nine hundred sixty million, seventy-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 73 81 118 146 162 177 219 354 438 531 657 1062 1314 1593 1971 3186 3942 4307 4779 5913 8614 9558 11826 12921 25842 28607 38763 57214 77526 85821 116289 171642 232578 257463 348867 514926 697734 772389 1544778 1687813 2088311 2317167 3375626 4176622 4634334 5063439 6264933 10126878 12529866 15190317 18794799 30380634 37589598 45570951 56384397 91141902 112768794 123210349 136712853 169153191 246420698 273425706 338306382 369631047 739262094 1108893141 2217786282 3326679423 6653358846 9980038269 19960076538