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20472493824 = 28332961877
BaseRepresentation
bin10011000100010000…
…010111011100000000
31221211202121102221000
4103010100113130000
5313411424300244
613223244332000
71323220216626
oct230420273400
957752542830
1020472493824
118756209692
123b74244000
131c1354bb93
14dc2d5b516
157ec49e169
hex4c4417700

20472493824 has 72 divisors (see below), whose sum is σ = 60540786320. Its totient is φ = 6824162304.

The previous prime is 20472493823. The next prime is 20472493829. The reversal of 20472493824 is 42839427402.

It is a happy number.

20472493824 is a `hidden beast` number, since 20 + 4 + 7 + 249 + 382 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 20472493824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20472493823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474027 + ... + 1487850.

Almost surely, 220472493824 is an apocalyptic number.

20472493824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20472493824 is an abundant number, since it is smaller than the sum of its proper divisors (40068292496).

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

20472493824 is an equidigital number, since it uses as much as digits as its factorization.

20472493824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961902 (or 2961882 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20472493824 in words is "twenty billion, four hundred seventy-two million, four hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2961877 5923754 8885631 11847508 17771262 23695016 26656893 35542524 47390032 53313786 71085048 79970679 94780064 106627572 142170096 159941358 189560128 213255144 284340192 319882716 379120256 426510288 568680384 639765432 758240512 853020576 1137360768 1279530864 1706041152 2274721536 2559061728 3412082304 5118123456 6824164608 10236246912 20472493824