Search a number
-
+
20454651326421 = 321315719726921013
BaseRepresentation
bin1001010011010011110000…
…01110011110111111010101
32200102110000211010220121100
410221221320032132333111
510140112111214421141
6111300423113540313
74210541220362034
oct451517016367725
980373024126540
1020454651326421
116576850470904
1223642b9414699
13b54b33210140
1450a0207ac71b
152571146550b6
hex129a7839efd5

20454651326421 has 96 divisors (see below), whose sum is σ = 32304733100640. Its totient is φ = 12396964349952.

The previous prime is 20454651326357. The next prime is 20454651326423. The reversal of 20454651326421 is 12462315645402.

It is a happy number.

20454651326421 is a `hidden beast` number, since 2 + 0 + 4 + 54 + 6 + 513 + 2 + 64 + 21 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14926091364900 + 5528559961521 = 3863430^2 + 2351289^2 .

It is not a de Polignac number, because 20454651326421 - 26 = 20454651326357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20454651326423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 973417911 + ... + 973438923.

It is an arithmetic number, because the mean of its divisors is an integer number (336507636465).

Almost surely, 220454651326421 is an apocalyptic number.

It is an amenable number.

20454651326421 is a deficient number, since it is larger than the sum of its proper divisors (11850081774219).

20454651326421 is a wasteful number, since it uses less digits than its factorization.

20454651326421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21655 (or 21652 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 20454651326421 in words is "twenty trillion, four hundred fifty-four billion, six hundred fifty-one million, three hundred twenty-six thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 157 197 269 471 591 807 1413 1773 2041 2421 2561 3497 6123 7683 10491 18369 21013 23049 30929 31473 42233 52993 63039 92787 126699 158979 189117 273169 278361 380097 402077 476937 549029 688909 819507 1206231 1647087 2066727 2458521 3299041 3618693 4139561 4941261 5652497 6200181 8319901 9897123 12418683 16957491 24959703 29691369 37256049 42887533 50872473 53814293 73482461 74879109 108158713 128662599 161442879 220447383 324476139 385987797 484328637 649911077 661342149 887442029 973428417 1113541909 1949733231 2662326087 3340625727 5849199693 7986978261 8448844001 10021877181 11536746377 14476044817 25346532003 34610239131 43428134451 76039596009 103830717393 130284403353 174826079713 524478239139 1573434717417 2272739036269 6818217108807 20454651326421