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20318160384 = 293235312491
BaseRepresentation
bin10010111011000011…
…101000011000000000
31221110000012111020200
4102323003220120000
5313102422113014
613200052405200
71316334341124
oct227303503000
957400174220
1020318160384
118687087695
123b30616800
131bba593712
14daa665584
157ddb65a09
hex4bb0e8600

20318160384 has 120 divisors (see below), whose sum is σ = 58810412232. Its totient is φ = 6752993280.

The previous prime is 20318160361. The next prime is 20318160407. The reversal of 20318160384 is 48306181302.

20318160384 is a `hidden beast` number, since 203 + 18 + 1 + 60 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (20318160361) and next prime (20318160407).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620379 + ... + 1632869.

Almost surely, 220318160384 is an apocalyptic number.

20318160384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20318160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405206116).

20318160384 is an abundant number, since it is smaller than the sum of its proper divisors (38492251848).

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

20318160384 is a wasteful number, since it uses less digits than its factorization.

20318160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20318160384 in words is "twenty billion, three hundred eighteen million, one hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 353 384 512 576 706 768 1059 1152 1412 1536 2118 2304 2824 3177 4236 4608 5648 6354 8472 11296 12491 12708 16944 22592 24982 25416 33888 37473 45184 49964 50832 67776 74946 90368 99928 101664 112419 135552 149892 180736 199856 203328 224838 271104 299784 399712 406656 449676 542208 599568 799424 813312 899352 1199136 1598848 1626624 1798704 2398272 3197696 3597408 4409323 4796544 6395392 7194816 8818646 9593088 13227969 14389632 17637292 19186176 26455938 28779264 35274584 39683907 52911876 57558528 70549168 79367814 105823752 141098336 158735628 211647504 282196672 317471256 423295008 564393344 634942512 846590016 1128786688 1269885024 1693180032 2257573376 2539770048 3386360064 5079540096 6772720128 10159080192 20318160384