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66175000209440 = 2551134917454423
BaseRepresentation
bin11110000101111100100010…
…11000010110100000100000
322200022021020112200210211222
433002332101120112200200
532133202400023200230
6352424213031154212
716636662123614063
oct1702762130264040
9280267215623758
1066175000209440
111a0a3729492021
1275091a9815968
132ac0377a68375
14124ac5c2b68da
1579b56c32e6e5
hex3c2f91616820

66175000209440 has 96 divisors (see below), whose sum is σ = 158043211191936. Its totient is φ = 26182315479040.

The previous prime is 66175000209413. The next prime is 66175000209457. The reversal of 66175000209440 is 4490200057166.

It is a super-2 number, since 2×661750002094402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66175000209391 and 66175000209400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5150069 + ... + 12604491.

It is an arithmetic number, because the mean of its divisors is an integer number (1646283449916).

Almost surely, 266175000209440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66175000209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79021605595968).

66175000209440 is an abundant number, since it is smaller than the sum of its proper divisors (91868210982496).

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

66175000209440 is a wasteful number, since it uses less digits than its factorization.

66175000209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455042 (or 7455034 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 66175000209440 in words is "sixty-six trillion, one hundred seventy-five billion, two hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 491 565 904 982 1130 1808 1964 2260 2455 3616 3928 4520 4910 7856 9040 9820 15712 18080 19640 39280 55483 78560 110966 221932 277415 443864 554830 887728 1109660 1775456 2219320 4438640 7454423 8877280 14908846 29817692 37272115 59635384 74544230 119270768 149088460 238541536 298176920 596353840 842349799 1192707680 1684699598 3369399196 3660121693 4211748995 6738798392 7320243386 8423497990 13477596784 14640486772 16846995980 18300608465 26955193568 29280973544 33693991960 36601216930 58561947088 67387983920 73202433860 117123894176 134775967840 146404867720 292809735440 413593751309 585619470880 827187502618 1654375005236 2067968756545 3308750010472 4135937513090 6617500020944 8271875026180 13235000041888 16543750052360 33087500104720 66175000209440