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19897861984 = 2572111388741
BaseRepresentation
bin10010100010000000…
…010100011101100000
31220100201100010020021
4102202000110131200
5311222323040414
613050240123224
71303042015300
oct224200243540
956321303207
1019897861984
118490908240
123a33906514
131b51495c40
14d6a8d9600
157b6ce2c24
hex4a2014760

19897861984 has 144 divisors (see below), whose sum is σ = 53536983696. Its totient is φ = 7155993600.

The previous prime is 19897861957. The next prime is 19897862003. The reversal of 19897861984 is 48916879891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179854 + ... + 268594.

It is an arithmetic number, because the mean of its divisors is an integer number (371784609).

Almost surely, 219897861984 is an apocalyptic number.

19897861984 is a gapful number since it is divisible by the number (14) 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 19897861984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768491848).

19897861984 is an abundant number, since it is smaller than the sum of its proper divisors (33639121712).

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

19897861984 is a wasteful number, since it uses less digits than its factorization.

19897861984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88789 (or 88774 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 70.

The spelling of 19897861984 in words is "nineteen billion, eight hundred ninety-seven million, eight hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 10192 14014 16016 17248 20384 28028 32032 56056 88741 112112 177482 224224 354964 621187 709928 976151 1153633 1242374 1419856 1952302 2307266 2484748 2839712 3904604 4348309 4614532 4969496 6833057 7809208 8075431 8696618 9229064 9938992 12689963 13666114 15618416 16150862 17393236 18458128 19877984 25379926 27332228 31236832 32301724 34786472 36916256 47831399 50759852 54664456 56528017 64603448 69572944 88829741 95662798 101519704 109328912 113056034 129206896 139145888 177659482 191325596 203039408 218657824 226112068 258413792 355318964 382651192 406078816 452224136 621808187 710637928 765302384 904448272 1243616374 1421275856 1530604768 1808896544 2487232748 2842551712 4974465496 9948930992 19897861984