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21316415296 = 2611241125639
BaseRepresentation
bin10011110110100011…
…101010111101000000
32001000120121002112211
4103312203222331000
5322124000242141
613443112431504
71353145353241
oct236643527500
961016532484
1021316415296
119049619350
12416a9a8594
13201933c4b7
14106307acc8
1584b5eed81
hex4f68eaf40

21316415296 has 56 divisors (see below), whose sum is σ = 46337037120. Its totient is φ = 9648998400.

The previous prime is 21316415293. The next prime is 21316415347. The reversal of 21316415296 is 69251461312.

It is a super-2 number, since 2×213164152962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21316415293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106845 + ... + 232483.

Almost surely, 221316415296 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 21316415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23168518560).

21316415296 is an abundant number, since it is smaller than the sum of its proper divisors (25020621824).

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

21316415296 is a wasteful number, since it uses less digits than its factorization.

21316415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125903 (or 125893 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The spelling of 21316415296 in words is "twenty-one billion, three hundred sixteen million, four hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 241 352 482 704 964 1928 2651 3856 5302 7712 10604 15424 21208 42416 84832 125639 169664 251278 502556 1005112 1382029 2010224 2764058 4020448 5528116 8040896 11056232 22112464 30278999 44224928 60557998 88449856 121115996 242231992 333068989 484463984 666137978 968927968 1332275956 1937855936 2664551912 5329103824 10658207648 21316415296