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135787997041152 = 293109780586731
BaseRepresentation
bin11110110111111110011011…
…010101000001001000000000
3122210210012112222120200001020
4132313332123111001020000
5120244222304220304102
61200444051125505440
740413234102616551
oct3667763325011000
9583705488520036
10135787997041152
113a2a2403386885
1213290759572280
135a9c9a39665b1
142576261b1c328
1510a7256454bbc
hex7b7f9b541200

135787997041152 has 80 divisors (see below), whose sum is σ = 362077476263712. Its totient is φ = 45221404712960.

The previous prime is 135787997041111. The next prime is 135787997041187. The reversal of 135787997041152 is 251140799787531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38608374 + ... + 41978357.

Almost surely, 2135787997041152 is an apocalyptic number.

135787997041152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135787997041152 is an abundant number, since it is smaller than the sum of its proper divisors (226289479222560).

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

135787997041152 is an equidigital number, since it uses as much as digits as its factorization.

135787997041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80587849 (or 80587833 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 69.

The spelling of 135787997041152 in words is "one hundred thirty-five trillion, seven hundred eighty-seven billion, nine hundred ninety-seven million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1097 1536 2194 3291 4388 6582 8776 13164 17552 26328 35104 52656 70208 105312 140416 210624 280832 421248 561664 842496 1684992 80586731 161173462 241760193 322346924 483520386 644693848 967040772 1289387696 1934081544 2578775392 3868163088 5157550784 7736326176 10315101568 15472652352 20630203136 30945304704 41260406272 61890609408 88403643907 123781218816 176807287814 265210931721 353614575628 530421863442 707229151256 1060843726884 1414458302512 2121687453768 2828916605024 4243374907536 5657833210048 8486749815072 11315666420096 16973499630144 22631332840192 33946999260288 45262665680384 67893998520576 135787997041152