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135302353666320 = 24353744334394473
BaseRepresentation
bin11110110000111010001000…
…101110100100000100010000
3122202001210000122220002010210
4132300322020232210010100
5120213243210014310240
61155433013154524120
740333162312215231
oct3660721056440420
9582053018802123
10135302353666320
113a125451357365
1213212604596640
135a65c59c902c9
14255a9514c5088
1510997d0deb780
hex7b0e88ba4110

135302353666320 has 160 divisors (see below), whose sum is σ = 431745852604032. Its totient is φ = 35026229661696.

The previous prime is 135302353666309. The next prime is 135302353666321. The reversal of 135302353666320 is 23666353203531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135302353666320.

It is not an unprimeable number, because it can be changed into a prime (135302353666321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13263397 + ... + 21131076.

Almost surely, 2135302353666320 is an apocalyptic number.

135302353666320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135302353666320 is an abundant number, since it is smaller than the sum of its proper divisors (296443498937712).

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

135302353666320 is a wasteful number, since it uses less digits than its factorization.

135302353666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34394969 (or 34394963 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 48.

The spelling of 135302353666320 in words is "one hundred thirty-five trillion, three hundred two billion, three hundred fifty-three million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 443 444 555 592 740 886 888 1110 1329 1480 1772 1776 2215 2220 2658 2960 3544 4430 4440 5316 6645 7088 8860 8880 10632 13290 16391 17720 21264 26580 32782 35440 49173 53160 65564 81955 98346 106320 131128 163910 196692 245865 262256 327820 393384 491730 655640 786768 983460 1311280 1966920 3933840 34394473 68788946 103183419 137577892 171972365 206366838 275155784 343944730 412733676 515917095 550311568 687889460 825467352 1031834190 1272595501 1375778920 1650934704 2063668380 2545191002 2751557840 3817786503 4127336760 5090382004 6362977505 7635573006 8254673520 10180764008 12725955010 15236751539 15271146012 19088932515 20361528016 25451910020 30473503078 30542292024 38177865030 45710254617 50903820040 60947006156 61084584048 76183757695 76355730060 91420509234 101807640080 121894012312 152367515390 152711460120 182841018468 228551273085 243788024624 304735030780 305422920240 365682036936 457102546170 563759806943 609470061560 731364073872 914205092340 1127519613886 1218940123120 1691279420829 1828410184680 2255039227772 2818799034715 3382558841658 3656820369360 4510078455544 5637598069430 6765117683316 8456397104145 9020156911088 11275196138860 13530235366632 16912794208290 22550392277720 27060470733264 33825588416580 45100784555440 67651176833160 135302353666320