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1868204544 = 29361127157
BaseRepresentation
bin110111101011010…
…1000101000000000
311211012100121211220
41233112220220000
512311230021134
6505214035040
764203322323
oct15726505000
94735317756
101868204544
118796097a8
124417a8a80
1323a08059b
1413a18c7ba
15ae02c149
hex6f5a8a00

1868204544 has 160 divisors (see below), whose sum is σ = 5130909696. Its totient is φ = 603832320.

The previous prime is 1868204543. The next prime is 1868204567. The reversal of 1868204544 is 4454028681.

It is a junction number, because it is equal to n+sod(n) for n = 1868204496 and 1868204505.

It is not an unprimeable number, because it can be changed into a prime (1868204543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11899314 + ... + 11899470.

Almost surely, 21868204544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565454848).

1868204544 is an abundant number, since it is smaller than the sum of its proper divisors (3262705152).

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

1868204544 is a wasteful number, since it uses less digits than its factorization.

1868204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1868204544 is about 43222.7317970533. The cubic root of 1868204544 is about 1231.6145418074.

The spelling of 1868204544 in words is "one billion, eight hundred sixty-eight million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 127 128 157 183 192 244 254 256 314 366 381 384 471 488 508 512 628 732 762 768 942 976 1016 1256 1464 1524 1536 1884 1952 2032 2512 2928 3048 3768 3904 4064 5024 5856 6096 7536 7747 7808 8128 9577 10048 11712 12192 15072 15494 15616 16256 19154 19939 20096 23241 23424 24384 28731 30144 30988 31232 32512 38308 39878 40192 46482 46848 48768 57462 59817 60288 61976 65024 76616 79756 80384 92964 93696 97536 114924 119634 120576 123952 153232 159512 185928 195072 229848 239268 241152 247904 306464 319024 371856 459696 478536 495808 612928 638048 743712 919392 957072 991616 1216279 1225856 1276096 1487424 1838784 1914144 1983232 2432558 2451712 2552192 2974848 3648837 3677568 3828288 3966464 4865116 4903424 5104384 5949696 7297674 7355136 7656576 9730232 10208768 11899392 14595348 14710272 15313152 19460464 29190696 30626304 38920928 58381392 77841856 116762784 155683712 233525568 311367424 467051136 622734848 934102272 1868204544