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4537649790976 = 2165321572
BaseRepresentation
bin100001000001000000100…
…0000010000000000000000
3121001210110121121221222111
41002002001000100000000
51043321101321302401
613352322330545104
7645556122554101
oct102020100200000
917053417557874
104537649790976
11149a4520132a5
12613515898194
1326bb8b124323
141198a29523a8
157d07c0d6e51
hex42081010000

4537649790976 has 153 divisors (see below), whose sum is σ = 9308982364311. Its totient is φ = 2211838427136.

The previous prime is 4537649790941. The next prime is 4537649790991. The reversal of 4537649790976 is 6790979467354.

The square root of 4537649790976 is 2130176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1090584576 + 4536559206400 = 33024^2 + 2129920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28902227890 + ... + 28902228046.

Almost surely, 24537649790976 is an apocalyptic number.

4537649790976 is the 2130176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4537649790976

4537649790976 is an abundant number, since it is smaller than the sum of its proper divisors (4771332573335).

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

4537649790976 is an frugal number, since it uses more digits than its factorization.

4537649790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 76.

The spelling of 4537649790976 in words is "four trillion, five hundred thirty-seven billion, six hundred forty-nine million, seven hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 157 212 256 314 424 512 628 848 1024 1256 1696 2048 2512 2809 3392 4096 5024 5618 6784 8192 8321 10048 11236 13568 16384 16642 20096 22472 24649 27136 32768 33284 40192 44944 49298 54272 65536 66568 80384 89888 98596 108544 133136 160768 179776 197192 217088 266272 321536 359552 394384 434176 441013 532544 643072 719104 788768 868352 882026 1065088 1286144 1306397 1438208 1577536 1736704 1764052 2130176 2572288 2612794 2876416 3155072 3473408 3528104 4260352 5144576 5225588 5752832 6310144 7056208 8520704 10289152 10451176 11505664 12620288 14112416 17041408 20902352 23011328 25240576 28224832 34082816 41804704 46022656 50481152 56449664 68165632 69239041 83609408 92045312 100962304 112899328 136331264 138478082 167218816 184090624 201924608 225798656 272662528 276956164 334437632 403849216 451597312 545325056 553912328 668875264 807698432 903194624 1107824656 1337750528 1615396864 1806389248 2215649312 2675501056 3612778496 4431298624 5351002112 7225556992 8862597248 10702004224 14451113984 17725194496 21404008448 28902227968 35450388992 42808016896 70900777984 85616033792 141801555968 283603111936 567206223872 1134412447744 2268824895488 4537649790976