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2097072912 = 2431110513779
BaseRepresentation
bin111110011111110…
…1100101100010000
312102011000100020010
41330333230230100
513243322313122
6544031314520
7102652553124
oct17477545420
95364010203
102097072912
11986819a10
124a637ba40
1327560475c
1415c727584
15c4189e0c
hex7cfecb10

2097072912 has 80 divisors (see below), whose sum is σ = 5917121280. Its totient is φ = 634704000.

The previous prime is 2097072899. The next prime is 2097072983. The reversal of 2097072912 is 2192707902.

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, 553039 + ... + 556817.

It is an arithmetic number, because the mean of its divisors is an integer number (73964016).

Almost surely, 22097072912 is an apocalyptic number.

2097072912 is a gapful number since it is divisible by the number (22) 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 2097072912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958560640).

2097072912 is an abundant number, since it is smaller than the sum of its proper divisors (3820048368).

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

2097072912 is a wasteful number, since it uses less digits than its factorization.

2097072912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2097072912 is about 45793.8086644909. The cubic root of 2097072912 is about 1279.9839093029.

The spelling of 2097072912 in words is "two billion, ninety-seven million, seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1051 2102 3153 3779 4204 6306 7558 8408 11337 11561 12612 15116 16816 22674 23122 25224 30232 34683 41569 45348 46244 50448 60464 69366 83138 90696 92488 124707 138732 166276 181392 184976 249414 277464 332552 498828 554928 665104 997656 1995312 3971729 7943458 11915187 15886916 23830374 31773832 43689019 47660748 63547664 87378038 95321496 131067057 174756076 190642992 262134114 349512152 524268228 699024304 1048536456 2097072912