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20682404496 = 24321334931657
BaseRepresentation
bin10011010000110001…
…000111001010010000
31222101101121000020100
4103100301013022100
5314324143420441
613300143412400
71331346352245
oct232061071220
958341530210
1020682404496
118853750686
1240125b4100
131c47b96190
141002b9d5cc
15810b14cb6
hex4d0c47290

20682404496 has 120 divisors (see below), whose sum is σ = 62515052600. Its totient is φ = 6345381888.

The previous prime is 20682404489. The next prime is 20682404513. The reversal of 20682404496 is 69440428602.

It can be written as a sum of positive squares in 4 ways, for example, as 1968164496 + 18714240000 = 44364^2 + 136800^2 .

It is a super-2 number, since 2×206824044962 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 637500 + ... + 669156.

Almost surely, 220682404496 is an apocalyptic number.

20682404496 is a gapful number since it is divisible by the number (26) 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 20682404496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257526300).

20682404496 is an abundant number, since it is smaller than the sum of its proper divisors (41832648104).

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

20682404496 is a wasteful number, since it uses less digits than its factorization.

20682404496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32033 (or 32024 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20682404496 in words is "twenty billion, six hundred eighty-two million, four hundred four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 349 468 624 698 936 1047 1396 1872 2094 2792 3141 4188 4537 5584 6282 8376 9074 12564 13611 16752 18148 25128 27222 31657 36296 40833 50256 54444 63314 72592 81666 94971 108888 126628 163332 189942 217776 253256 284913 326664 379884 411541 506512 569826 653328 759768 823082 1139652 1234623 1519536 1646164 2279304 2469246 3292328 3703869 4558608 4938492 6584656 7407738 9876984 11048293 14815476 19753968 22096586 29630952 33144879 44193172 59261904 66289758 88386344 99434637 132579516 143627809 176772688 198869274 265159032 287255618 397738548 430883427 530318064 574511236 795477096 861766854 1149022472 1292650281 1590954192 1723533708 2298044944 2585300562 3447067416 5170601124 6894134832 10341202248 20682404496