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19894936656 = 2437836011187
BaseRepresentation
bin10010100001110101…
…001010010001010000
31220100111211111102210
4102201311022101100
5311221100433111
613050053312120
71303005112530
oct224165122120
956314744383
1019894936656
11848a19a411
123a32935640
131b509b058a
14d6a3774c0
157b69160a6
hex4a1d4a450

19894936656 has 160 divisors (see below), whose sum is σ = 59594185728. Its totient is φ = 5601715200.

The previous prime is 19894936643. The next prime is 19894936669. The reversal of 19894936656 is 65663949891.

It is an interprime number because it is at equal distance from previous prime (19894936643) and next prime (19894936669).

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 31 ways as a sum of consecutive naturals, for example, 16760095 + ... + 16761281.

Almost surely, 219894936656 is an apocalyptic number.

19894936656 is a gapful number since it is divisible by the number (16) 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 19894936656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797092864).

19894936656 is an abundant number, since it is smaller than the sum of its proper divisors (39699249072).

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

19894936656 is a wasteful number, since it uses less digits than its factorization.

19894936656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 66.

The spelling of 19894936656 in words is "nineteen billion, eight hundred ninety-four million, nine hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 601 664 996 1162 1187 1202 1328 1743 1803 1992 2324 2374 2404 3486 3561 3606 3984 4207 4648 4748 4808 6972 7122 7212 8309 8414 9296 9496 9616 12621 13944 14244 14424 16618 16828 18992 24927 25242 27888 28488 28848 33236 33656 49854 49883 50484 56976 66472 67312 98521 99708 99766 100968 132944 149649 197042 199416 199532 201936 295563 299298 349181 394084 398832 399064 591126 598596 689647 698362 713387 788168 798128 1047543 1182252 1197192 1379294 1396724 1426774 1576336 2068941 2095086 2140161 2364504 2394384 2758588 2793448 2853548 4137882 4190172 4280322 4729008 4993709 5517176 5586896 5707096 8275764 8380344 8560644 9987418 11034352 11414192 14981127 16551528 16760688 17121288 19974836 29962254 33103056 34242576 39949672 59211121 59924508 79899344 118422242 119849016 177633363 236844484 239698032 355266726 414477847 473688968 710533452 828955694 947377936 1243433541 1421066904 1657911388 2486867082 2842133808 3315822776 4973734164 6631645552 9947468328 19894936656