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66011062400 = 275226997643
BaseRepresentation
bin111101011110100100…
…001110000010000000
320022101102110102011222
4331132210032002000
52040142312444100
650154114054212
74524546525653
oct753644160200
9208342412158
1066011062400
1125aa4584228
1210962b7a368
1362bcbca24a
1432a2d4189a
151ab5323485
hexf5e90e080

66011062400 has 96 divisors (see below), whose sum is σ = 163149714000. Its totient is φ = 26391188480.

The previous prime is 66011062367. The next prime is 66011062427. The reversal of 66011062400 is 426011066.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66011062400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8632979 + ... + 8640621.

Almost surely, 266011062400 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 66011062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81574857000).

66011062400 is an abundant number, since it is smaller than the sum of its proper divisors (97138651600).

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

66011062400 is a wasteful number, since it uses less digits than its factorization.

66011062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 66011062400 its reverse (426011066), we get a palindrome (66437073466).

The spelling of 66011062400 in words is "sixty-six billion, eleven million, sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2699 3200 5398 7643 10796 13495 15286 21592 26990 30572 38215 43184 53980 61144 67475 76430 86368 107960 122288 134950 152860 172736 191075 215920 244576 269900 305720 345472 382150 431840 489152 539800 611440 764300 863680 978304 1079600 1222880 1528600 1727360 2159200 2445760 3057200 4318400 4891520 6114400 8636800 12228800 20628457 24457600 41256914 82513828 103142285 165027656 206284570 330055312 412569140 515711425 660110624 825138280 1031422850 1320221248 1650276560 2062845700 2640442496 3300553120 4125691400 6601106240 8251382800 13202212480 16502765600 33005531200 66011062400