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77030312020000 = 255415161254041
BaseRepresentation
bin10001100000111100000100…
…011000101000100000100000
3101002202000200212222220112021
4101200330010120220200200
540044031034334120000
6431455123052511224
722140153640563343
oct2140740430504040
9332660625886467
1077030312020000
11225a940aa60769
128780ba777b514
1333c9c09243331
14150440372845a
158d8b0640411a
hex460f04628820

77030312020000 has 120 divisors (see below), whose sum is σ = 189519367711212. Its totient is φ = 30809971200000.

The previous prime is 77030312019989. The next prime is 77030312020001. The reversal of 77030312020000 is 2021303077.

It can be written as a sum of positive squares in 10 ways, for example, as 1221458198416 + 75808853821584 = 1105196^2 + 8706828^2 .

It is a super-3 number, since 3×770303120200003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (77030312020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 303092980 + ... + 303347020.

Almost surely, 277030312020000 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 77030312020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94759683855606).

77030312020000 is an abundant number, since it is smaller than the sum of its proper divisors (112489055691212).

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

77030312020000 is a wasteful number, since it uses less digits than its factorization.

77030312020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269232 (or 269209 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

Adding to 77030312020000 its reverse (2021303077), we get a palindrome (77032333323077).

The spelling of 77030312020000 in words is "seventy-seven trillion, thirty billion, three hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 15161 20000 30322 60644 75805 121288 151610 242576 254041 303220 379025 485152 508082 606440 758050 1016164 1212880 1270205 1516100 1895125 2032328 2425760 2540410 3032200 3790250 4064656 5080820 6064400 6351025 7580500 8129312 9475625 10161640 12128800 12702050 15161000 18951250 20323280 25404100 30322000 31755125 37902500 40646560 50808200 60644000 63510250 75805000 101616400 127020500 151610000 158775625 203232800 254041000 303220000 317551250 508082000 635102500 1016164000 1270205000 2540410000 3851515601 5080820000 7703031202 15406062404 19257578005 30812124808 38515156010 61624249616 77030312020 96287890025 123248499232 154060624040 192575780050 308121248080 385151560100 481439450125 616242496160 770303120200 962878900250 1540606240400 1925757800500 2407197250625 3081212480800 3851515601000 4814394501250 7703031202000 9628789002500 15406062404000 19257578005000 38515156010000 77030312020000