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98042225456 = 247383215239
BaseRepresentation
bin101101101001111000…
…1011010001100110000
3100101001201202002110102
41123103301122030300
53101242302203311
6113012345051532
710040402111000
oct1332361321460
9311051662412
1098042225456
113864130a10a
1217002186ba8
13932602ab76
144a61038000
15283c41843b
hex16d3c5a330

98042225456 has 80 divisors (see below), whose sum is σ = 224193984000. Its totient is φ = 41511661632.

The previous prime is 98042225453. The next prime is 98042225537. The reversal of 98042225456 is 65452224089.

It is a super-2 number, since 2×980422254562 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98042225456.

It is not an unprimeable number, because it can be changed into a prime (98042225453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347885 + ... + 563123.

It is an arithmetic number, because the mean of its divisors is an integer number (2802424800).

Almost surely, 298042225456 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 98042225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112096992000).

98042225456 is an abundant number, since it is smaller than the sum of its proper divisors (126151758544).

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

98042225456 is a wasteful number, since it uses less digits than its factorization.

98042225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215351 (or 215331 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 98042225456 in words is "ninety-eight billion, forty-two million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 332 343 392 581 664 686 784 1162 1328 1372 2324 2744 4067 4648 5488 8134 9296 16268 28469 32536 56938 65072 113876 215239 227752 430478 455504 860956 1506673 1721912 3013346 3443824 6026692 10546711 12053384 17864837 21093422 24106768 35729674 42186844 71459348 73826977 84373688 125053859 142918696 147653954 168747376 250107718 285837392 295307908 500215436 590615816 875377013 1000430872 1181231632 1750754026 2000861744 3501508052 6127639091 7003016104 12255278182 14006032208 24510556364 49021112728 98042225456