Search a number
-
+
530621746400 = 25522931197333
BaseRepresentation
bin1111011100010111000…
…01010100110011100000
31212201121221102121100002
413232023201110303200
532143203131341100
61043433025315132
753223205266044
oct7561341246340
91781557377302
10530621746400
11195043162829
1286a08195aa8
133b064283a45
141b97a076024
15dc091232d5
hex7b8b854ce0

530621746400 has 144 divisors (see below), whose sum is σ = 1340661067200. Its totient is φ = 204836136960.

The previous prime is 530621746367. The next prime is 530621746469. The reversal of 530621746400 is 4647126035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72357134 + ... + 72364466.

It is an arithmetic number, because the mean of its divisors is an integer number (9310146300).

Almost surely, 2530621746400 is an apocalyptic number.

530621746400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530621746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670330533600).

530621746400 is an abundant number, since it is smaller than the sum of its proper divisors (810039320800).

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

530621746400 is a wasteful number, since it uses less digits than its factorization.

530621746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 530621746400 in words is "five hundred thirty billion, six hundred twenty-one million, seven hundred forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 3119 4640 5800 6238 7333 11600 12476 14666 15595 23200 24952 29332 31190 36665 49904 58664 62380 73330 77975 90451 99808 117328 124760 146660 155950 180902 183325 212657 234656 249520 293320 311900 361804 366650 425314 452255 499040 586640 623800 723608 733300 850628 904510 1063285 1173280 1247600 1447216 1466600 1701256 1809020 2126570 2261275 2495200 2894432 2933200 3402512 3618040 4253140 4522550 5316425 5866400 6805024 7236080 8506280 9045100 10632850 14472160 17012560 18090200 21265700 22871627 34025120 36180400 42531400 45743254 72360800 85062800 91486508 114358135 170125600 182973016 228716270 365946032 457432540 571790675 663277183 731892064 914865080 1143581350 1326554366 1829730160 2287162700 2653108732 3316385915 3659460320 4574325400 5306217464 6632771830 9148650800 10612434928 13265543660 16581929575 18297301600 21224869856 26531087320 33163859150 53062174640 66327718300 106124349280 132655436600 265310873200 530621746400