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198297085776 = 24329619230137
BaseRepresentation
bin1011100010101101101…
…1010110011101010000
3200221211122221200100020
42320223123112131100
511222103023221101
6231032454423440
720216662263336
oct2705333263520
9627748850306
10198297085776
1177108598579
1232521361b80
131591259231a
149851c7bb56
155258be7136
hex2e2b6d6750

198297085776 has 80 divisors (see below), whose sum is σ = 530790283200. Its totient is φ = 63716373504.

The previous prime is 198297085739. The next prime is 198297085781. The reversal of 198297085776 is 677580792891.

It is a self number, because there is not a number n which added to its sum of digits gives 198297085776.

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, 746580 + ... + 976716.

It is an arithmetic number, because the mean of its divisors is an integer number (6634878540).

Almost surely, 2198297085776 is an apocalyptic number.

198297085776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198297085776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265395141600).

198297085776 is an abundant number, since it is smaller than the sum of its proper divisors (332493197424).

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

198297085776 is a wasteful number, since it uses less digits than its factorization.

198297085776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230796 (or 230790 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 69.

The spelling of 198297085776 in words is "one hundred ninety-eight billion, two hundred ninety-seven million, eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 619 696 1238 1392 1857 2476 3714 4952 7428 9904 14856 17951 29712 35902 53853 71804 107706 143608 215412 230137 287216 430824 460274 690411 861648 920548 1380822 1841096 2761644 3682192 5523288 6673973 11046576 13347946 20021919 26695892 40043838 53391784 80087676 106783568 142454803 160175352 284909606 320350704 427364409 569819212 854728818 1139638424 1709457636 2279276848 3418915272 4131189287 6837830544 8262378574 12393567861 16524757148 24787135722 33049514296 49574271444 66099028592 99148542888 198297085776