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20545406064 = 2432283504157
BaseRepresentation
bin10011001000100110…
…100000010001110000
31222000211210202201100
4103020212200101300
5314034110443224
613234411204400
71325064033021
oct231046402160
958024722640
1020545406064
118793389737
123b94746700
131c2569a111
14dcc8dac48
15803aa2ac9
hex4c89a0470

20545406064 has 60 divisors (see below), whose sum is σ = 57701891416. Its totient is φ = 6824255616.

The previous prime is 20545406047. The next prime is 20545406081. The reversal of 20545406064 is 46060454502.

20545406064 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 5 + 40 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20545406047) and next prime (20545406081).

It is a super-2 number, since 2×205454060642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211327 + ... + 292830.

Almost surely, 220545406064 is an apocalyptic number.

20545406064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20545406064 is an abundant number, since it is smaller than the sum of its proper divisors (37156485352).

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

20545406064 is a wasteful number, since it uses less digits than its factorization.

20545406064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504454 (or 504445 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 20545406064 in words is "twenty billion, five hundred forty-five million, four hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1132 1698 2264 2547 3396 4528 5094 6792 10188 13584 20376 40752 504157 1008314 1512471 2016628 3024942 4033256 4537413 6049884 8066512 9074826 12099768 18149652 24199536 36299304 72598608 142676431 285352862 428029293 570705724 856058586 1141411448 1284087879 1712117172 2282822896 2568175758 3424234344 5136351516 6848468688 10272703032 20545406064