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4666014729216 = 21032225012
BaseRepresentation
bin100001111100110010000…
…1001101000010000000000
3121112001210120220110112100
41003321210021220100000
51102421444232313331
613531312041030400
7661052123541411
oct103714411502000
917461716813470
104666014729216
111539933743315
1263437aa85400
1327b007338199
14121b9cbdb808
1581591622ae6
hex43e64268400

4666014729216 has 99 divisors (see below), whose sum is σ = 13473615072333. Its totient is φ = 1555269120000.

The previous prime is 4666014729199. The next prime is 4666014729263. The reversal of 4666014729216 is 6129274106664.

The square root of 4666014729216 is 2160096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4665185289216 + 829440000 = 2159904^2 + 28800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 207357966 + ... + 207380466.

Almost surely, 24666014729216 is an apocalyptic number.

4666014729216 is the 2160096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666014729216

4666014729216 is an abundant number, since it is smaller than the sum of its proper divisors (8807600343117).

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

4666014729216 is an frugal number, since it uses more digits than its factorization.

4666014729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4666014729216 in words is "four trillion, six hundred sixty-six billion, fourteen million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 22501 45002 67503 90004 135006 180008 202509 270012 360016 405018 540024 720032 810036 1080048 1440064 1620072 2160096 2880128 3240144 4320192 5760256 6480288 8640384 11520512 12960576 17280768 23041024 25921152 34561536 51842304 69123072 103684608 207369216 506295001 1012590002 1518885003 2025180004 3037770006 4050360008 4556655009 6075540012 8100720016 9113310018 12151080024 16201440032 18226620036 24302160048 32402880064 36453240072 48604320096 64805760128 72906480144 97208640192 129611520256 145812960288 194417280384 259223040512 291625920576 388834560768 518446081024 583251841152 777669121536 1166503682304 1555338243072 2333007364608 4666014729216