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19882034496 = 263105261
BaseRepresentation
bin10010100001000011…
…111100010101000000
31220022121120000000000
4102201003330111000
5311204300100441
613044513000000
71302460335102
oct224103742500
956277500000
1019882034496
118482987875
123a2a553000
131b4b113a6c
14d68779572
157b57182b6
hex4a10fc540

19882034496 has 154 divisors (see below), whose sum is σ = 59191033002. Its totient is φ = 6626085120.

The previous prime is 19882034453. The next prime is 19882034507. The reversal of 19882034496 is 69443028891.

19882034496 is a `hidden beast` number, since 198 + 8 + 2 + 0 + 3 + 449 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18517766400 + 1364268096 = 136080^2 + 36936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 21 ways as a sum of consecutive naturals, for example, 3776506 + ... + 3781766.

Almost surely, 219882034496 is an apocalyptic number.

19882034496 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 19882034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29595516501).

19882034496 is an abundant number, since it is smaller than the sum of its proper divisors (39308998506).

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

19882034496 is an frugal number, since it uses more digits than its factorization.

19882034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19882034496 in words is "nineteen billion, eight hundred eighty-two million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5261 5832 6561 7776 8748 10522 11664 13122 15552 15783 17496 19683 21044 23328 26244 31566 34992 39366 42088 46656 47349 52488 59049 63132 69984 78732 84176 94698 104976 118098 126264 139968 142047 157464 168352 189396 209952 236196 252528 284094 314928 336704 378792 419904 426141 472392 505056 568188 629856 757584 852282 944784 1010112 1136376 1259712 1278423 1515168 1704564 1889568 2272752 2556846 3030336 3409128 3779136 3835269 4545504 5113692 6818256 7670538 9091008 10227384 11505807 13636512 15341076 20454768 23011614 27273024 30682152 34517421 40909536 46023228 61364304 69034842 81819072 92046456 103552263 122728608 138069684 184092912 207104526 245457216 276139368 310656789 368185824 414209052 552278736 621313578 736371648 828418104 1104557472 1242627156 1656836208 2209114944 2485254312 3313672416 4970508624 6627344832 9941017248 19882034496