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21364395976 = 23711217411811
BaseRepresentation
bin10011111001011010…
…101100111111001000
32001010220212202200001
4103321122230333020
5322223241132401
613451545052344
71354300240510
oct237132547710
961126782601
1021364395976
11907370aa00
124182a870b4
13202626b731
1410695aa840
1585092b601
hex4f96acfc8

21364395976 has 96 divisors (see below), whose sum is σ = 50377803840. Its totient is φ = 8314416000.

The previous prime is 21364395947. The next prime is 21364396003. The reversal of 21364395976 is 67959346312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11796111 + ... + 11797921.

It is an arithmetic number, because the mean of its divisors is an integer number (524768790).

Almost surely, 221364395976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364395976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188901920).

21364395976 is an abundant number, since it is smaller than the sum of its proper divisors (29013407864).

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

21364395976 is a wasteful number, since it uses less digits than its factorization.

21364395976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3572 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The spelling of 21364395976 in words is "twenty-one billion, three hundred sixty-four million, three hundred ninety-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 1741 1811 3388 3482 3622 6776 6964 7244 12187 12677 13928 14488 19151 19921 24374 25354 38302 39842 48748 50708 76604 79684 97496 101416 134057 139447 153208 159368 210661 219131 268114 278894 421322 438262 536228 557788 842644 876524 1072456 1115576 1474627 1533917 1685288 1753048 2949254 3067834 3152951 5898508 6135668 6305902 11797016 12271336 12611804 22070657 25223608 34682461 44141314 69364922 88282628 138729844 176565256 242777227 277459688 381507071 485554454 763014142 971108908 1526028284 1942217816 2670549497 3052056568 5341098994 10682197988 21364395976