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135967020843402 = 232719461471230739
BaseRepresentation
bin11110111010100101001001…
…111110101000000110001010
3122211102022122110110002201200
4132322211021332220012022
5120310140424313442102
61201102215335125030
740432202346052230
oct3672451176500612
9584368573402650
10135967020843402
113a361320682161
12132bb3a0213776
135ab3834285928
142580ba6004950
1510abc330ce51c
hex7ba949fa818a

135967020843402 has 96 divisors (see below), whose sum is σ = 354408222604800. Its totient is φ = 36802275964704.

The previous prime is 135967020843341. The next prime is 135967020843431. The reversal of 135967020843402 is 204348020769531.

135967020843402 is a `hidden beast` number, since 1 + 3 + 5 + 96 + 7 + 0 + 208 + 4 + 340 + 2 = 666.

It is a super-2 number, since 2×1359670208434022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109860549 + ... + 111091287.

It is an arithmetic number, because the mean of its divisors is an integer number (3691752318800).

It is a 1-persistent number, because it is pandigital, but 2⋅135967020843402 = 271934041686804 is not.

Almost surely, 2135967020843402 is an apocalyptic number.

135967020843402 is an abundant number, since it is smaller than the sum of its proper divisors (218441201761398).

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

135967020843402 is a wasteful number, since it uses less digits than its factorization.

135967020843402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276920 (or 1276917 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 135967020843402 in words is "one hundred thirty-five trillion, nine hundred sixty-seven billion, twenty million, eight hundred forty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 46147 92294 138441 276882 323029 415323 646058 830646 876793 969087 1230739 1753586 1938174 2461478 2630379 2907261 3692217 5260758 5814522 6137551 7384434 7891137 8615173 11076651 12275102 15782274 17230346 18412653 22153302 23384041 25845519 36825306 46768082 51691038 55237959 70152123 77536557 110475918 140304246 155073114 163688287 210456369 327376574 420912738 491064861 982129722 1473194583 2946389166 56794912633 113589825266 170384737899 340769475798 397564388431 511154213697 795128776862 1022308427394 1079103340027 1192693165293 2158206680054 2385386330586 3237310020081 3578079495879 6474620040162 7156158991758 7553723380189 9711930060243 15107446760378 19423860120486 22661170140567 45322340281134 67983510421701 135967020843402