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66197530240 = 2751511574363
BaseRepresentation
bin111101101001101011…
…100010011010000000
320022212102022221222021
4331221223202122000
52041033031431430
650224414451224
74532302502662
oct755153423200
9208772287867
1066197530240
112608a864286
12109b5503b14
13631c72704a
1432bda00532
151ac68a807a
hexf69ae2680

66197530240 has 128 divisors (see below), whose sum is σ = 160352910720. Its totient is φ = 26130124800.

The previous prime is 66197530229. The next prime is 66197530271. The reversal of 66197530240 is 4203579166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×661975302402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15170299 + ... + 15174661.

It is an arithmetic number, because the mean of its divisors is an integer number (1252757115).

Almost surely, 266197530240 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 66197530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80176455360).

66197530240 is an abundant number, since it is smaller than the sum of its proper divisors (94155380480).

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

66197530240 is a wasteful number, since it uses less digits than its factorization.

66197530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 66197530240 in words is "sixty-six billion, one hundred ninety-seven million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 157 160 302 314 320 604 628 640 755 785 1208 1256 1510 1570 2416 2512 3020 3140 4363 4832 5024 6040 6280 8726 9664 10048 12080 12560 17452 19328 20096 21815 23707 24160 25120 34904 43630 47414 48320 50240 69808 87260 94828 96640 100480 118535 139616 174520 189656 237070 279232 349040 379312 474140 558464 658813 684991 698080 758624 948280 1317626 1369982 1396160 1517248 1896560 2635252 2739964 2792320 3034496 3294065 3424955 3793120 5270504 5479928 6588130 6849910 7586240 10541008 10959856 13176260 13699820 15172480 21082016 21919712 26352520 27399640 42164032 43839424 52705040 54799280 84328064 87678848 103433641 105410080 109598560 206867282 210820160 219197120 413734564 421640320 438394240 517168205 827469128 1034336410 1654938256 2068672820 3309876512 4137345640 6619753024 8274691280 13239506048 16549382560 33098765120 66197530240