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21827817984 = 29372030117
BaseRepresentation
bin10100010101000010…
…100001001000000000
32002100012220001011010
4110111002201020000
5324200410133414
614005541520520
71401625251210
oct242502411000
962305801133
1021827817984
1192912637a5
124292113140
13209b28773b
1410b0d60240
1587b46b959
hex5150a1200

21827817984 has 80 divisors (see below), whose sum is σ = 66457942848. Its totient is φ = 6236516352.

The previous prime is 21827817983. The next prime is 21827818009. The reversal of 21827817984 is 48971872812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21827817983) 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, 1004307 + ... + 1025810.

Almost surely, 221827817984 is an apocalyptic number.

21827817984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21827817984 is an abundant number, since it is smaller than the sum of its proper divisors (44630124864).

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

21827817984 is an equidigital number, since it uses as much as digits as its factorization.

21827817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030145 (or 2030129 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 57.

The spelling of 21827817984 in words is "twenty-one billion, eight hundred twenty-seven million, eight hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 2030117 4060234 6090351 8120468 12180702 14210819 16240936 24361404 28421638 32481872 42632457 48722808 56843276 64963744 85264914 97445616 113686552 129927488 170529828 194891232 227373104 259854976 341059656 389782464 454746208 519709952 682119312 779564928 909492416 1039419904 1364238624 1559129856 1818984832 2728477248 3118259712 3637969664 5456954496 7275939328 10913908992 21827817984