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98216000821 = 1729231221603
BaseRepresentation
bin101101101111000100…
…0010011110100110101
3100101111211201210110001
41123132020103310311
53102121244011241
6113041513431301
710044612142501
oct1333610236465
9311454653401
1098216000821
1138720410114
121705040b531
139353032723
144a7a151301
15284c7e2431
hex16de213d35

98216000821 has 24 divisors (see below), whose sum is σ = 111177840384. Its totient is φ = 86371595520.

The previous prime is 98216000783. The next prime is 98216000873. The reversal of 98216000821 is 12800061289.

98216000821 is a nontrivial binomial coefficient, being equal to C(443207, 2).

It is not a de Polignac number, because 98216000821 - 27 = 98216000693 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98216000221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332406 + ... + 554008.

It is an arithmetic number, because the mean of its divisors is an integer number (4632410016).

Almost surely, 298216000821 is an apocalyptic number.

98216000821 is the 443206-th triangular number.

98216000821 is the 147736-th centered nonagonal number.

It is an amenable number.

98216000821 is a deficient number, since it is larger than the sum of its proper divisors (12961839563).

98216000821 is a wasteful number, since it uses less digits than its factorization.

98216000821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221709 (or 221680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 98216000821 in words is "ninety-eight billion, two hundred sixteen million, eight hundred twenty-one", and thus it is an aban number.

Divisors: 1 17 29 31 493 527 841 899 14297 15283 26071 221603 443207 3767251 6426487 6869693 109250279 116784781 186368123 199221097 3168258091 3386758649 5777411813 98216000821