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498145722368 = 215725572
BaseRepresentation
bin1110011111110111100…
…11001000000000000000
31202121210122001122112012
413033323303020000000
531130200301103433
61020502303352052
750663341530200
oct7177363100000
91677718048465
10498145722368
11182298301248
1280663bb2628
1337c89c35588
141a178c5c400
15ce57e57848
hex73fbcc8000

498145722368 has 144 divisors (see below), whose sum is σ = 1161017994465. Its totient is φ = 213107736576.

The previous prime is 498145722323. The next prime is 498145722377. The reversal of 498145722368 is 863227541894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 390015238144 + 108130484224 = 624512^2 + 328832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=499072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 894336746 + ... + 894337302.

Almost surely, 2498145722368 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 498145722368

498145722368 is an abundant number, since it is smaller than the sum of its proper divisors (662872272097).

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

498145722368 is an frugal number, since it uses more digits than its factorization.

498145722368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 566 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 59.

The spelling of 498145722368 in words is "four hundred ninety-eight billion, one hundred forty-five million, seven hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 557 784 896 1024 1114 1568 1792 2048 2228 3136 3584 3899 4096 4456 6272 7168 7798 8192 8912 12544 14336 15596 16384 17824 25088 27293 28672 31192 32768 35648 50176 54586 57344 62384 71296 100352 109172 114688 124768 142592 200704 218344 229376 249536 285184 310249 401408 436688 499072 570368 620498 802816 873376 998144 1140736 1240996 1605632 1746752 1996288 2171743 2281472 2481992 3493504 3992576 4343486 4562944 4963984 6987008 7985152 8686972 9125888 9927968 13974016 15202201 15970304 17373944 18251776 19855936 27948032 30404402 31940608 34747888 39711872 55896064 60808804 63881216 69495776 79423744 111792128 121617608 127762432 138991552 158847488 223584256 243235216 277983104 317694976 447168512 486470432 555966208 635389952 894337024 972940864 1111932416 1270779904 1945881728 2223864832 2541559808 3891763456 4447729664 5083119616 7783526912 8895459328 10166239232 15567053824 17790918656 31134107648 35581837312 62268215296 71163674624 124536430592 249072861184 498145722368