Search a number
-
+
272667774976 = 2124121992
BaseRepresentation
bin1111110111110001000…
…1000001000000000000
3222001210200112010122121
43331330101001000000
513431410422244401
6325132320414024
725461650563162
oct3757421010000
9861720463577
10272667774976
11a570193a083
1244a17a77314
131c9353795ac
14d2a913c932
15715cda1ca1
hex3f7c441000

272667774976 has 117 divisors (see below), whose sum is σ = 561715214493. Its totient is φ = 132340285440.

The previous prime is 272667774971. The next prime is 272667774997. The reversal of 272667774976 is 679477766272.

The square root of 272667774976 is 522176.

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., 13138661376 + 259529113600 = 114624^2 + 509440^2 .

It is a Duffinian number.

Its product of digits (522764928) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (272667774971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1370189725 + ... + 1370189923.

Almost surely, 2272667774976 is an apocalyptic number.

272667774976 is the 522176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272667774976

272667774976 is an abundant number, since it is smaller than the sum of its proper divisors (289047439517).

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

272667774976 is an frugal number, since it uses more digits than its factorization.

272667774976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 242 counting only the distinct ones).

The product of its digits is 522764928, while the sum is 70.

The spelling of 272667774976 in words is "two hundred seventy-two billion, six hundred sixty-seven million, seven hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 199 256 328 398 512 656 796 1024 1312 1592 1681 2048 2624 3184 3362 4096 5248 6368 6724 8159 10496 12736 13448 16318 20992 25472 26896 32636 39601 41984 50944 53792 65272 79202 83968 101888 107584 130544 158404 167936 203776 215168 261088 316808 334519 407552 430336 522176 633616 669038 815104 860672 1044352 1267232 1338076 1623641 1721344 2088704 2534464 2676152 3247282 3442688 4177408 5068928 5352304 6494564 6885376 8354816 10137856 10704608 12989128 16709632 20275712 21409216 25978256 33419264 40551424 42818432 51956512 66569281 81102848 85636864 103913024 133138562 162205696 171273728 207826048 266277124 342547456 415652096 532554248 685094912 831304192 1065108496 1370189824 1662608384 2130216992 3325216768 4260433984 6650433536 8520867968 17041735936 34083471872 68166943744 136333887488 272667774976