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98305007424 = 26313131300649
BaseRepresentation
bin101101110001101101…
…1110101111101000000
3100101202001012210112220
41123203123311331000
53102312040214144
6113054413251040
710050042530121
oct1334333657500
9311661183486
1098305007424
1138766683098
1217076193a80
1393685c7460
144a87cc0048
152855524919
hex16e36f5f40

98305007424 has 112 divisors (see below), whose sum is σ = 282245409600. Its totient is φ = 30016696320.

The previous prime is 98305007419. The next prime is 98305007431. The reversal of 98305007424 is 42470050389.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176652 + ... + 477300.

It is an arithmetic number, because the mean of its divisors is an integer number (2520048300).

Almost surely, 298305007424 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 98305007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141122704800).

98305007424 is an abundant number, since it is smaller than the sum of its proper divisors (183940402176).

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

98305007424 is a wasteful number, since it uses less digits than its factorization.

98305007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300808 (or 300798 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 98305007424 in words is "ninety-eight billion, three hundred five million, seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 131 156 192 208 262 312 393 416 524 624 786 832 1048 1248 1572 1703 2096 2496 3144 3406 4192 5109 6288 6812 8384 10218 12576 13624 20436 25152 27248 40872 54496 81744 108992 163488 300649 326976 601298 901947 1202596 1803894 2405192 3607788 3908437 4810384 7215576 7816874 9620768 11725311 14431152 15633748 19241536 23450622 28862304 31267496 39385019 46901244 57724608 62534992 78770038 93802488 118155057 125069984 157540076 187604976 236310114 250139968 315080152 375209952 472620228 512005247 630160304 750419904 945240456 1024010494 1260320608 1536015741 1890480912 2048020988 2520641216 3072031482 3780961824 4096041976 6144062964 7561923648 8192083952 12288125928 16384167904 24576251856 32768335808 49152503712 98305007424