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13924620801 = 32713191078363
BaseRepresentation
bin11001111011111100…
…01101101000000001
31022221102122000202100
430331332031220001
5212004200331201
610221420541013
71002031216050
oct147576155001
938842560670
1013924620801
1159a60a3783
1228473b1769
13140bb08ac0
14961494397
155676e3886
hex33df8da01

13924620801 has 96 divisors (see below), whose sum is σ = 26304445440. Its totient is φ = 6892428672.

The previous prime is 13924620799. The next prime is 13924620803. The reversal of 13924620801 is 10802642931.

13924620801 is a `hidden beast` number, since 1 + 3 + 9 + 24 + 620 + 8 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13924620799) and next prime (13924620803).

It is not a de Polignac number, because 13924620801 - 21 = 13924620799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13924620803) 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, 1660846 + ... + 1669208.

It is an arithmetic number, because the mean of its divisors is an integer number (274004640).

Almost surely, 213924620801 is an apocalyptic number.

It is an amenable number.

13924620801 is a deficient number, since it is larger than the sum of its proper divisors (12379824639).

13924620801 is a wasteful number, since it uses less digits than its factorization.

13924620801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13924620801 in words is "thirteen billion, nine hundred twenty-four million, six hundred twenty thousand, eight hundred one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 107 117 133 171 247 273 321 399 741 749 819 963 1197 1391 1729 2033 2223 2247 4173 5187 6099 6741 8363 9737 12519 14231 15561 18297 25089 26429 29211 42693 58541 75267 79287 87633 108719 128079 158897 175623 185003 237861 326157 476691 526869 555009 761033 894841 978471 1112279 1430073 1665027 2065661 2283099 2684523 3336837 6196983 6263887 6849297 8053569 10010511 11632933 14459627 17001979 18590949 18791661 34898799 43378881 51005937 56374983 81430531 104696397 119013853 130136643 153017811 221025727 244291593 357041559 663077181 732874779 1071124677 1547180089 1989231543 4641540267 13924620801