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77066252000 = 2553131147073
BaseRepresentation
bin100011111000110000…
…0011010111011100000
321100220212202020022122
41013301200122323200
52230312430031000
655223113123412
75365526222303
oct1076140327340
9240825666278
1077066252000
112a757987861
1212b293b9568
1373623a915a
143a3129ab3a
152010b65085
hex11f181aee0

77066252000 has 96 divisors (see below), whose sum is σ = 190798511904. Its totient is φ = 30590976000.

The previous prime is 77066251991. The next prime is 77066252033. The reversal of 77066252000 is 25266077.

It is a happy number.

It is a congruent number.

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, 450464 + ... + 597536.

It is an arithmetic number, because the mean of its divisors is an integer number (1987484499).

Almost surely, 277066252000 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 77066252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95399255952).

77066252000 is an abundant number, since it is smaller than the sum of its proper divisors (113732259904).

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

77066252000 is a wasteful number, since it uses less digits than its factorization.

77066252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147229 (or 147211 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 77066252000 in words is "seventy-seven billion, sixty-six million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 524 655 800 1000 1048 1310 2000 2096 2620 3275 4000 4192 5240 6550 10480 13100 16375 20960 26200 32750 52400 65500 104800 131000 147073 262000 294146 524000 588292 735365 1176584 1470730 2353168 2941460 3676825 4706336 5882920 7353650 11765840 14707300 18384125 19266563 23531680 29414600 36768250 38533126 58829200 73536500 77066252 96332815 117658400 147073000 154132504 192665630 294146000 308265008 385331260 481664075 588292000 616530016 770662520 963328150 1541325040 1926656300 2408320375 3082650080 3853312600 4816640750 7706625200 9633281500 15413250400 19266563000 38533126000 77066252000