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275683803136 = 216722932
BaseRepresentation
bin1000000001100000000…
…10010000000000000000
3222100120212201020111021
410000300002100000000
514004100023200021
6330351500355224
725626462443200
oct4006002200000
9870525636437
10275683803136
11a6a0a357735
1245519b45b14
131ccc6183441
14d4b3918400
157287a5ec41
hex4030090000

275683803136 has 153 divisors (see below), whose sum is σ = 643578401721. Its totient is φ = 117746958336.

The previous prime is 275683803133. The next prime is 275683803137. The reversal of 275683803136 is 631308386572.

The square root of 275683803136 is 525056.

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., 260834918400 + 14848884736 = 510720^2 + 121856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (275683803133) by changing a digit.

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, 940900206 + ... + 940900498.

Almost surely, 2275683803136 is an apocalyptic number.

275683803136 is the 525056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275683803136

275683803136 is an abundant number, since it is smaller than the sum of its proper divisors (367894598585).

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

275683803136 is an frugal number, since it uses more digits than its factorization.

275683803136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 275683803136 in words is "two hundred seventy-five billion, six hundred eighty-three million, eight hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 293 392 448 512 586 784 896 1024 1172 1568 1792 2048 2051 2344 3136 3584 4096 4102 4688 6272 7168 8192 8204 9376 12544 14336 14357 16384 16408 18752 25088 28672 28714 32768 32816 37504 50176 57344 57428 65536 65632 75008 85849 100352 114688 114856 131264 150016 171698 200704 229376 229712 262528 300032 343396 401408 458752 459424 525056 600064 600943 686792 802816 918848 1050112 1200128 1201886 1373584 1605632 1837696 2100224 2400256 2403772 2747168 3211264 3675392 4200448 4206601 4800512 4807544 5494336 7350784 8400896 8413202 9601024 9615088 10988672 14701568 16801792 16826404 19202048 19230176 21977344 29403136 33603584 33652808 38460352 43954688 58806272 67207168 67305616 76920704 87909376 117612544 134414336 134611232 153841408 175818752 235225088 269222464 307682816 351637504 470450176 538444928 615365632 703275008 940900352 1076889856 1230731264 1406550016 2153779712 2461462528 2813100032 4307559424 4922925056 5626200064 8615118848 9845850112 17230237696 19691700224 34460475392 39383400448 68920950784 137841901568 275683803136