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10016130786048 = 28326764884761
BaseRepresentation
bin1001000111000000111111…
…1010101110001100000000
31022110112101101011002100200
42101300033322232030000
52303101013440123143
633145202535445200
72052433025641122
oct221601772561400
938415341132320
1010016130786048
1132118a9788362
121159239b26800
13578695043c3a
14268ad75c7212
151258211701d3
hex91c0feae300

10016130786048 has 108 divisors (see below), whose sum is σ = 29310004229688. Its totient is φ = 3288878714880.

The previous prime is 10016130786029. The next prime is 10016130786149. The reversal of 10016130786048 is 84068703161001.

10016130786048 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 1 + 30 + 7 + 8 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10016130785994 and 10016130786012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32288013 + ... + 32596748.

Almost surely, 210016130786048 is an apocalyptic number.

10016130786048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10016130786048 is an abundant number, since it is smaller than the sum of its proper divisors (19293873443640).

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

10016130786048 is an equidigital number, since it uses as much as digits as its factorization.

10016130786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64884850 (or 64884833 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10016130786048 in words is "ten trillion, sixteen billion, one hundred thirty million, seven hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 536 576 603 768 804 1072 1152 1206 1608 2144 2304 2412 3216 4288 4824 6432 8576 9648 12864 17152 19296 25728 38592 51456 77184 154368 64884761 129769522 194654283 259539044 389308566 519078088 583962849 778617132 1038156176 1167925698 1557234264 2076312352 2335851396 3114468528 4152624704 4347278987 4671702792 6228937056 8305249408 8694557974 9343405584 12457874112 13041836961 16610498816 17389115948 18686811168 24915748224 26083673922 34778231896 37373622336 39125510883 49831496448 52167347844 69556463792 74747244672 78251021766 104334695688 139112927584 149494489344 156502043532 208669391376 278225855168 313004087064 417338782752 556451710336 626008174128 834677565504 1112903420672 1252016348256 1669355131008 2504032696512 3338710262016 5008065393024 10016130786048