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77420061900 = 223352191509163
BaseRepresentation
bin100100000011010011…
…0000110010011001100
321101211112111122021000
41020012212012103030
52232024013440100
655322152340300
75410353445116
oct1100646062314
9241745448230
1077420061900
112a919674435
12130079a4690
1373ba79751c
143a6627a3b6
152031c52900
hex12069864cc

77420061900 has 144 divisors (see below), whose sum is σ = 261990870400. Its totient is φ = 19558739520.

The previous prime is 77420061821. The next prime is 77420061907. The reversal of 77420061900 is 916002477.

It is a happy number.

It is a super-2 number, since 2×774200619002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77420061907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703282 + ... + 805881.

Almost surely, 277420061900 is an apocalyptic number.

It is an amenable number.

77420061900 is an abundant number, since it is smaller than the sum of its proper divisors (184570808500).

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

77420061900 is a wasteful number, since it uses less digits than its factorization.

77420061900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509205 (or 1509192 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 77420061900 in words is "seventy-seven billion, four hundred twenty million, sixty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 1509163 3018326 4527489 6036652 7545815 9054978 13582467 15091630 18109956 22637445 27164934 28674097 30183260 37729075 40747401 45274890 54329868 57348194 67912335 75458150 81494802 86022291 90549780 113187225 114696388 135824670 143370485 150916300 162989604 172044582 203737005 226374450 258066873 271649340 286740970 339561675 344089164 407474010 430111455 452748900 516133746 573481940 679123350 716852425 774200619 814948020 860222910 1018685025 1032267492 1290334365 1358246700 1433704850 1548401238 1720445820 2037370050 2150557275 2580668730 2867409700 3096802476 3871003095 4074740100 4301114550 5161337460 6451671825 7742006190 8602229100 12903343650 15484012380 19355015475 25806687300 38710030950 77420061900