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6098297472 = 273220292609
BaseRepresentation
bin1011010110111110…
…01010001010000000
3120202000000121110100
411223133022022000
544442131004342
62445043402400
7304056446631
oct55337121200
916660017410
106098297472
11264a36a173
121222383400
13762564657
1441bcb9888
1525a5a2e4c
hex16b7ca280

6098297472 has 96 divisors (see below), whose sum is σ = 17563864500. Its totient is φ = 2030985216.

The previous prime is 6098297411. The next prime is 6098297521. The reversal of 6098297472 is 2747928906.

6098297472 is a `hidden beast` number, since 6 + 0 + 9 + 82 + 97 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5425206336 + 673091136 = 73656^2 + 25944^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336104 + ... + 2338712.

Almost surely, 26098297472 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 6098297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781932250).

6098297472 is an abundant number, since it is smaller than the sum of its proper divisors (11465567028).

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

6098297472 is a wasteful number, since it uses less digits than its factorization.

6098297472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6098297472 is about 78091.5966797965. The cubic root of 6098297472 is about 1826.9901324510.

The spelling of 6098297472 in words is "six billion, ninety-eight million, two hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2029 2609 4058 5218 6087 7827 8116 10436 12174 15654 16232 18261 20872 23481 24348 31308 32464 36522 41744 46962 48696 62616 64928 73044 83488 93924 97392 125232 129856 146088 166976 187848 194784 250464 259712 292176 333952 375696 389568 500928 584352 751392 779136 1001856 1168704 1502784 2337408 3005568 5293661 10587322 15880983 21174644 31761966 42349288 47642949 63523932 84698576 95285898 127047864 169397152 190571796 254095728 338794304 381143592 508191456 677588608 762287184 1016382912 1524574368 2032765824 3049148736 6098297472