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272120271312 = 2432310122910657
BaseRepresentation
bin1111110101101110100…
…0011101000111010000
3222000101112022001211010
43331123220131013100
513424300242140222
6325002121450520
725442252066451
oct3753350350720
9860345261733
10272120271312
11a545088750a
12448a4640a40
131c878b01426
14d25653d128
157129ca380c
hex3f5ba1d1d0

272120271312 has 160 divisors (see below), whose sum is σ = 744109159680. Its totient is φ = 85520793600.

The previous prime is 272120271229. The next prime is 272120271323. The reversal of 272120271312 is 213172021272.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 272120271312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25529088 + ... + 25539744.

It is an arithmetic number, because the mean of its divisors is an integer number (4650682248).

Almost surely, 2272120271312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272120271312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372054579840).

272120271312 is an abundant number, since it is smaller than the sum of its proper divisors (471988888368).

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

272120271312 is a wasteful number, since it uses less digits than its factorization.

272120271312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 272120271312 its reverse (213172021272), we get a palindrome (485292292584).

The spelling of 272120271312 in words is "two hundred seventy-two billion, one hundred twenty million, two hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 101 138 184 202 229 276 303 368 404 458 552 606 687 808 916 1104 1212 1374 1616 1832 2323 2424 2748 3664 4646 4848 5267 5496 6969 9292 10534 10657 10992 13938 15801 18584 21068 21314 23129 27876 31602 31971 37168 42136 42628 46258 55752 63204 63942 69387 84272 85256 92516 111504 126408 127884 138774 170512 185032 245111 252816 255768 277548 370064 490222 511536 531967 555096 735333 980444 1063934 1076357 1110192 1470666 1595901 1960888 2127868 2152714 2440453 2941332 3191802 3229071 3921776 4255736 4305428 4880906 5882664 6383604 6458142 7321359 8511472 8610856 9761812 11765328 12767208 12916284 14642718 17221712 19523624 24756211 25534416 25832568 29285436 39047248 49512422 51665136 56130419 58570872 74268633 99024844 112260838 117141744 148537266 168391257 198049688 224521676 246485753 297074532 336782514 396099376 449043352 492971506 594149064 673565028 739457259 898086704 985943012 1188298128 1347130056 1478914518 1971886024 2694260112 2957829036 3943772048 5669172319 5915658072 11338344638 11831316144 17007516957 22676689276 34015033914 45353378552 68030067828 90706757104 136060135656 272120271312