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20948715405 = 32512716072281
BaseRepresentation
bin10011100000101001…
…000000011110001101
32000001221201000010100
4103200221000132031
5320400332343110
613342415401313
71341062100012
oct234051003615
960057630110
1020948715405
118980004a42
124087823239
131c8b0c9ab7
14102a2c3709
158291bbbc0
hex4e0a4078d

20948715405 has 48 divisors (see below), whose sum is σ = 36635848704. Its totient is φ = 11072920320.

The previous prime is 20948715391. The next prime is 20948715419. The reversal of 20948715405 is 50451784902.

20948715405 is a `hidden beast` number, since 20 + 9 + 4 + 87 + 1 + 540 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20948715391) and next prime (20948715419).

It is not a de Polignac number, because 20948715405 - 28 = 20948715149 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182865 + ... + 9185145.

It is an arithmetic number, because the mean of its divisors is an integer number (763246848).

Almost surely, 220948715405 is an apocalyptic number.

It is an amenable number.

20948715405 is a deficient number, since it is larger than the sum of its proper divisors (15687133299).

20948715405 is a wasteful number, since it uses less digits than its factorization.

20948715405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20948715405 in words is "twenty billion, nine hundred forty-eight million, seven hundred fifteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 127 381 635 1143 1607 1905 2281 4821 5715 6843 8035 11405 14463 20529 24105 34215 72315 102645 204089 289687 612267 869061 1020445 1448435 1836801 2607183 3061335 3665567 4345305 9184005 10996701 13035915 18327835 32990103 54983505 164950515 465527009 1396581027 2327635045 4189743081 6982905135 20948715405