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16272949248 = 215346131
BaseRepresentation
bin11110010011111000…
…11000000000000000
31120000002102110210000
433021330120000000
5231311333333443
611250425440000
71114154533503
oct171174300000
946002373700
1016272949248
1169a0723696
1231a1940000
1316c44a256a
14b0530313a
1565395e8d3
hex3c9f18000

16272949248 has 160 divisors (see below), whose sum is σ = 48625135020. Its totient is φ = 5423431680.

The previous prime is 16272949223. The next prime is 16272949267. The reversal of 16272949248 is 84294927261.

It is a happy number.

16272949248 is a `hidden beast` number, since 1 + 627 + 2 + 9 + 4 + 9 + 2 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16272949194 and 16272949203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2651143 + ... + 2657273.

Almost surely, 216272949248 is an apocalyptic number.

16272949248 is a gapful number since it is divisible by the number (18) 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 16272949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312567510).

16272949248 is an abundant number, since it is smaller than the sum of its proper divisors (32352185772).

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

16272949248 is an frugal number, since it uses more digits than its factorization.

16272949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6136 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 16272949248 in words is "sixteen billion, two hundred seventy-two million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6131 6144 6912 8192 9216 10368 12262 12288 13824 16384 18393 18432 20736 24524 24576 27648 32768 36786 36864 41472 49048 49152 55179 55296 73572 73728 82944 98096 98304 110358 110592 147144 147456 165537 165888 196192 220716 221184 294288 294912 331074 331776 392384 441432 442368 496611 588576 662148 663552 784768 882864 884736 993222 1177152 1324296 1327104 1569536 1765728 1986444 2354304 2648592 2654208 3139072 3531456 3972888 4708608 5297184 6278144 7062912 7945776 9417216 10594368 12556288 14125824 15891552 18834432 21188736 25112576 28251648 31783104 37668864 42377472 50225152 56503296 63566208 75337728 84754944 100450304 113006592 127132416 150675456 169509888 200900608 226013184 254264832 301350912 339019776 452026368 508529664 602701824 678039552 904052736 1017059328 1356079104 1808105472 2034118656 2712158208 4068237312 5424316416 8136474624 16272949248