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2047044864 = 2835350291
BaseRepresentation
bin111101000000011…
…0110110100000000
312021122212122122110
41322000312310000
513143020413424
6535043135320
7101504410554
oct17200666400
95248778573
102047044864
1196055a117
12491674540
13268139667
14155c23864
15beaa6c29
hex7a036d00

2047044864 has 72 divisors (see below), whose sum is σ = 5551029792. Its totient is φ = 669460480.

The previous prime is 2047044863. The next prime is 2047044899. The reversal of 2047044864 is 4684407402.

It is a super-3 number, since 3×20470448643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047044863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15559 + ... + 65849.

It is an arithmetic number, because the mean of its divisors is an integer number (77097636).

Almost surely, 22047044864 is an apocalyptic number.

2047044864 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 2047044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775514896).

2047044864 is an abundant number, since it is smaller than the sum of its proper divisors (3503984928).

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

2047044864 is an equidigital number, since it uses as much as digits as its factorization.

2047044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50363 (or 50349 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2047044864 is about 45244.2799036519. The cubic root of 2047044864 is about 1269.7233910986.

The spelling of 2047044864 in words is "two billion, forty-seven million, forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 40704 50291 100582 150873 201164 301746 402328 603492 804656 1206984 1609312 2413968 2665423 3218624 4827936 5330846 6437248 7996269 9655872 10661692 12874496 15992538 19311744 21323384 31985076 38623488 42646768 63970152 85293536 127940304 170587072 255880608 341174144 511761216 682348288 1023522432 2047044864