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842215098368 = 2117228972
BaseRepresentation
bin11000100000101111110…
…11101000100000000000
32222111220102021221012102
430100113323220200000
5102244324031121433
61442524104245532
7114563606134400
oct14202773504000
92874812257172
10842215098368
112a51aa514a46
121172881708a8
1361560c18917
142ca98bc0800
1516d944c94e8
hexc417ee8800

842215098368 has 108 divisors (see below), whose sum is σ = 1959637266405. Its totient is φ = 360824733696.

The previous prime is 842215098359. The next prime is 842215098371. The reversal of 842215098368 is 863890512248.

It is a happy number.

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 688023798784 + 154191299584 = 829472^2 + 392672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=648928.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 290718296 + ... + 290721192.

Almost surely, 2842215098368 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 842215098368

842215098368 is an abundant number, since it is smaller than the sum of its proper divisors (1117422168037).

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

842215098368 is an frugal number, since it uses more digits than its factorization.

842215098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 842215098368 in words is "eight hundred forty-two billion, two hundred fifteen million, ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2897 3136 3584 5794 6272 7168 11588 12544 14336 20279 23176 25088 40558 46352 50176 81116 92704 100352 141953 162232 185408 283906 324464 370816 567812 648928 741632 1135624 1297856 1483264 2271248 2595712 2966528 4542496 5191424 5933056 8392609 9084992 10382848 16785218 18169984 20765696 33570436 36339968 41531392 58748263 67140872 72679936 117496526 134281744 145359872 234993052 268563488 290719744 411237841 469986104 537126976 822475682 939972208 1074253952 1644951364 1879944416 2148507904 3289902728 3759888832 4297015808 6579805456 7519777664 8594031616 13159610912 15039555328 17188063232 26319221824 30079110656 52638443648 60158221312 105276887296 120316442624 210553774592 421107549184 842215098368