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1918018008 = 2333291272411
BaseRepresentation
bin111001001010010…
…1010000111011000
311221200002102002000
41302110222013120
512412003034013
6514153441000
765346612144
oct16224520730
94850072060
101918018008
118a4742355
12456410160
132474a1aca
14142a38224
15b35bb973
hex7252a1d8

1918018008 has 128 divisors (see below), whose sum is σ = 5557248000. Its totient is φ = 612178560.

The previous prime is 1918017953. The next prime is 1918018057. The reversal of 1918018008 is 8008108191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794323 + ... + 796733.

It is an arithmetic number, because the mean of its divisors is an integer number (43416000).

Almost surely, 21918018008 is an apocalyptic number.

1918018008 is a gapful number since it is divisible by the number (18) 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 1918018008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778624000).

1918018008 is an abundant number, since it is smaller than the sum of its proper divisors (3639229992).

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

1918018008 is a wasteful number, since it uses less digits than its factorization.

1918018008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 1918018008 is about 43795.1824747883. The cubic root of 1918018008 is about 1242.4651808327.

It can be divided in two parts, 191801 and 8008, that added together give a square (199809 = 4472).

The spelling of 1918018008 in words is "one billion, nine hundred eighteen million, eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 127 174 216 232 254 261 348 381 508 522 696 762 783 1016 1044 1143 1524 1566 2088 2286 2411 3048 3132 3429 3683 4572 4822 6264 6858 7233 7366 9144 9644 11049 13716 14466 14732 19288 21699 22098 27432 28932 29464 33147 43398 44196 57864 65097 66294 69919 86796 88392 99441 130194 132588 139838 173592 198882 209757 260388 265176 279676 306197 397764 419514 520776 559352 612394 629271 795528 839028 918591 1224788 1258542 1678056 1837182 1887813 2449576 2517084 2755773 3674364 3775626 5034168 5511546 7348728 7551252 8267319 8879713 11023092 15102504 16534638 17759426 22046184 26639139 33069276 35518852 53278278 66138552 71037704 79917417 106556556 159834834 213113112 239752251 319669668 479504502 639339336 959009004 1918018008