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133355077680 = 24351124592117
BaseRepresentation
bin111110000110010010…
…1010000000000110000
3110202012202002211222010
41330030211100000300
54141102344441210
6141132410042520
712430443312636
oct1741445200060
9422182084863
10133355077680
1151612512700
1221a18419440
13c762ccc4b6
146650d01356
153707695920
hex1f0c950030

133355077680 has 120 divisors (see below), whose sum is σ = 454399260336. Its totient is φ = 32328496640.

The previous prime is 133355077679. The next prime is 133355077697. The reversal of 133355077680 is 86770553331.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267019 + ... + 2325098.

Almost surely, 2133355077680 is an apocalyptic number.

133355077680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133355077680 is an abundant number, since it is smaller than the sum of its proper divisors (321044182656).

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

133355077680 is a wasteful number, since it uses less digits than its factorization.

133355077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592155 (or 4592138 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 133355077680 in words is "one hundred thirty-three billion, three hundred fifty-five million, seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 4592117 9184234 13776351 18368468 22960585 27552702 36736936 45921170 50513287 55105404 68881755 73473872 91842340 101026574 110210808 137763510 151539861 183684680 202053148 220421616 252566435 275527020 303079722 367369360 404106296 505132870 551054040 555646157 606159444 757699305 808212592 1010265740 1102108080 1111292314 1212318888 1515398610 1666938471 2020531480 2222584628 2424637776 2778230785 3030797220 3333876942 4041062960 4445169256 5556461570 6061594440 6667753884 8334692355 8890338512 11112923140 12123188880 13335507768 16669384710 22225846280 26671015536 33338769420 44451692560 66677538840 133355077680