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98264581324 = 227133131128001
BaseRepresentation
bin101101110000100000…
…1101000010011001100
3100101122020010221100221
41123201001220103030
53102221213100244
6113050411001124
710046042105560
oct1334101502314
9311566127327
1098264581324
1138745881398
12170647391a4
1393601119a0
144a827996a0
152851bdb784
hex16e10684cc

98264581324 has 96 divisors (see below), whose sum is σ = 219184422912. Its totient is φ = 37497600000.

The previous prime is 98264581309. The next prime is 98264581343. The reversal of 98264581324 is 42318546289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495324 + ... + 3523324.

It is an arithmetic number, because the mean of its divisors is an integer number (2283171072).

Almost surely, 298264581324 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 98264581324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109592211456).

98264581324 is an abundant number, since it is smaller than the sum of its proper divisors (120919841588).

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

98264581324 is a wasteful number, since it uses less digits than its factorization.

98264581324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28367 (or 28365 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 98264581324 in words is "ninety-eight billion, two hundred sixty-four million, five hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 311 364 403 434 622 806 868 1244 1612 2177 2821 4043 4354 5642 8086 8708 9641 11284 16172 19282 28001 28301 38564 56002 56602 67487 112004 113204 125333 134974 196007 250666 269948 364013 392014 501332 728026 784028 868031 877331 1456052 1736062 1754662 2548091 3472124 3509324 5096182 6076217 8708311 10192364 11284403 12152434 17416622 22568806 24304868 34833244 45137612 60958177 78990821 113208043 121916354 157981642 226416086 243832708 269957641 315963284 452832172 539915282 792456301 1079830564 1584912602 1889703487 3169825204 3509449333 3779406974 7018898666 7558813948 14037797332 24566145331 49132290662 98264581324