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138782784888 = 233311292014147
BaseRepresentation
bin1000000101000000011…
…0010011110101111000
3111021020000021221112000
42001100012103311320
54233211343104023
6143431140421000
713012111131126
oct2012006236570
9437200257460
10138782784888
115394829a440
1222a920a7760
1310119650b77
146a07ada916
153923e35243
hex2050193d78

138782784888 has 128 divisors (see below), whose sum is σ = 435055968000. Its totient is φ = 40605183360.

The previous prime is 138782784857. The next prime is 138782784947. The reversal of 138782784888 is 888487287831.

138782784888 is a `hidden beast` number, since 1 + 3 + 8 + 78 + 2 + 78 + 488 + 8 = 666.

It is a super-2 number, since 2×1387827848882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 938170 + ... + 1075977.

It is an arithmetic number, because the mean of its divisors is an integer number (3398874750).

Almost surely, 2138782784888 is an apocalyptic number.

138782784888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138782784888 is an abundant number, since it is smaller than the sum of its proper divisors (296273183112).

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

138782784888 is a wasteful number, since it uses less digits than its factorization.

138782784888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014202 (or 2014192 counting only the distinct ones).

The product of its digits is 308281344, while the sum is 72.

The spelling of 138782784888 in words is "one hundred thirty-eight billion, seven hundred eighty-two million, seven hundred eighty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2376 2552 2871 3132 3828 5742 6264 7656 8613 11484 17226 22968 34452 68904 2014147 4028294 6042441 8056588 12084882 16113176 18127323 22155617 24169764 36254646 44311234 48339528 54381969 58410263 66466851 72509292 88622468 108763938 116820526 132933702 145018584 175230789 177244936 199400553 217527876 233641052 265867404 350461578 398801106 435055752 467282104 525692367 531734808 598201659 642512893 700923156 797602212 1051384734 1196403318 1285025786 1401846312 1577077101 1595204424 1927538679 2102769468 2392806636 2570051572 3154154202 3855077358 4205538936 4785613272 5140103144 5782616037 6308308404 7710154716 11565232074 12616616808 15420309432 17347848111 23130464148 34695696222 46260928296 69391392444 138782784888