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21151204464 = 243133200569
BaseRepresentation
bin10011101100101101…
…011100010001110000
32000121001201111220010
4103230231130101300
5321304202020324
613414451414520
71346101162065
oct235455342160
960531644803
1021151204464
118a74337a75
1241235b4440
131cc1046000
141049152c6c
1583bd68829
hex4ecb5c470

21151204464 has 80 divisors (see below), whose sum is σ = 59192218400. Its totient is φ = 6508030464.

The previous prime is 21151204463. The next prime is 21151204493. The reversal of 21151204464 is 46440215112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21151204463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5172 + ... + 205740.

It is an arithmetic number, because the mean of its divisors is an integer number (739902730).

Almost surely, 221151204464 is an apocalyptic number.

21151204464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21151204464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29596109200).

21151204464 is an abundant number, since it is smaller than the sum of its proper divisors (38041013936).

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

21151204464 is a wasteful number, since it uses less digits than its factorization.

21151204464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200619 (or 200587 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21151204464 its reverse (46440215112), we get a palindrome (67591419576).

The spelling of 21151204464 in words is "twenty-one billion, one hundred fifty-one million, two hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2197 2704 4056 4394 6591 8112 8788 13182 17576 26364 35152 52728 105456 200569 401138 601707 802276 1203414 1604552 2406828 2607397 3209104 4813656 5214794 7822191 9627312 10429588 15644382 20859176 31288764 33896161 41718352 62577528 67792322 101688483 125155056 135584644 203376966 271169288 406753932 440650093 542338576 813507864 881300186 1321950279 1627015728 1762600372 2643900558 3525200744 5287801116 7050401488 10575602232 21151204464