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21343746976 = 25171914913859
BaseRepresentation
bin10011111000001011…
…111011101110100000
32001002111000200120021
4103320023323232200
5322202444400401
613445530323224
71353626566366
oct237013735640
961074020507
1021343746976
119062a97012
124177b89514
132021bbbaa6
141066953636
1584dbed2a1
hex4f82fbba0

21343746976 has 96 divisors (see below), whose sum is σ = 47151720000. Its totient is φ = 9450934272.

The previous prime is 21343746967. The next prime is 21343747049. The reversal of 21343746976 is 67964734312.

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 15 ways as a sum of consecutive naturals, for example, 1533135 + ... + 1546993.

It is an arithmetic number, because the mean of its divisors is an integer number (491163750).

Almost surely, 221343746976 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 21343746976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575860000).

21343746976 is an abundant number, since it is smaller than the sum of its proper divisors (25807973024).

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

21343746976 is a wasteful number, since it uses less digits than its factorization.

21343746976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054 (or 14046 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 52.

The spelling of 21343746976 in words is "twenty-one billion, three hundred forty-three million, seven hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 149 152 272 298 304 323 544 596 608 646 1192 1292 2384 2533 2584 2831 4768 5066 5168 5662 10132 10336 11324 13859 20264 22648 27718 40528 45296 48127 55436 81056 90592 96254 110872 192508 221744 235603 263321 385016 443488 471206 526642 770032 942412 1053284 1540064 1884824 2064991 2106568 3769648 4129982 4213136 4476457 7539296 8259964 8426272 8952914 16519928 17905828 33039856 35104847 35811656 39234829 66079712 70209694 71623312 78469658 140419388 143246624 156939316 280838776 313878632 561677552 627757264 666992093 1123355104 1255514528 1333984186 2667968372 5335936744 10671873488 21343746976