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66307050720 = 25325311485373
BaseRepresentation
bin111101110000001101…
…010100110011100000
320100011001102011211100
4331300031110303200
52041244101110340
650243330114400
74535102426451
oct756015246340
9210131364740
1066307050720
1126136668679
1210a2611ba00
136339322071
1432d038d128
151ad12dd830
hexf70354ce0

66307050720 has 144 divisors (see below), whose sum is σ = 233572090752. Its totient is φ = 17111485440.

The previous prime is 66307050713. The next prime is 66307050721. The reversal of 66307050720 is 2705070366.

It is a happy number.

66307050720 is a `hidden beast` number, since 6 + 63 + 0 + 70 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66307050721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698047 + ... + 787326.

It is an arithmetic number, because the mean of its divisors is an integer number (1622028408).

Almost surely, 266307050720 is an apocalyptic number.

66307050720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66307050720 is an abundant number, since it is smaller than the sum of its proper divisors (167265040032).

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

66307050720 is a wasteful number, since it uses less digits than its factorization.

66307050720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485425 (or 1485414 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 66307050720 in words is "sixty-six billion, three hundred seven million, fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 1485373 2970746 4456119 5941492 7426865 8912238 11882984 13368357 14853730 17824476 22280595 23765968 26736714 29707460 35648952 44561190 46046563 47531936 53473428 59414920 66841785 71297904 89122380 92093126 106946856 118829840 133683570 138139689 142595808 178244760 184186252 213893712 230232815 237659680 267367140 276279378 356489520 368372504 414419067 427787424 460465630 534734280 552558756 690698445 712979040 736745008 828838134 920931260 1069468560 1105117512 1381396890 1473490016 1657676268 1841862520 2072095335 2138937120 2210235024 2762793780 3315352536 3683725040 4144190670 4420470048 5525587560 6630705072 7367450080 8288381340 11051175120 13261410144 16576762680 22102350240 33153525360 66307050720