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2019936864 = 253117326203
BaseRepresentation
bin111100001100101…
…1100101001100000
312012202212102110110
41320121130221200
513114100434424
6532234131320
7101025115521
oct17031345140
95182772413
102019936864
11947224510
12484580b40
13262637b1a
141523a8848
15bc4eec29
hex7865ca60

2019936864 has 96 divisors (see below), whose sum is σ = 5863826304. Its totient is φ = 603694080.

The previous prime is 2019936857. The next prime is 2019936883. The reversal of 2019936864 is 4686399102.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 63987 + ... + 90189.

It is an arithmetic number, because the mean of its divisors is an integer number (61081524).

Almost surely, 22019936864 is an apocalyptic number.

2019936864 is a gapful number since it is divisible by the number (24) 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 2019936864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931913152).

2019936864 is an abundant number, since it is smaller than the sum of its proper divisors (3843889440).

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

2019936864 is a wasteful number, since it uses less digits than its factorization.

2019936864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26300 (or 26292 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2019936864 is about 44943.7077242187. The cubic root of 2019936864 is about 1264.0936946516.

The spelling of 2019936864 in words is "two billion, nineteen million, nine hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 9636 12848 19272 25696 26203 38544 52406 77088 78609 104812 157218 209624 288233 314436 419248 576466 628872 838496 864699 1152932 1257744 1729398 1912819 2305864 2515488 3458796 3825638 4611728 5738457 6917592 7651276 9223456 11476914 13835184 15302552 21041009 22953828 27670368 30605104 42082018 45907656 61210208 63123027 84164036 91815312 126246054 168328072 183630624 252492108 336656144 504984216 673312288 1009968432 2019936864