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77825915020 = 2257290787557
BaseRepresentation
bin100100001111011001…
…0010011100010001100
321102212211012010002001
41020132302103202030
52233341413240040
655430331242044
75423412235300
oct1103662234214
9242784163061
1077825915020
1130007777937
12130bb8a9324
1374538a7cb9
143aa4125d00
1520576c059a
hex121ec9388c

77825915020 has 72 divisors (see below), whose sum is σ = 190329377616. Its totient is φ = 26653447296.

The previous prime is 77825915003. The next prime is 77825915071. The reversal of 77825915020 is 2051952877.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845082 + ... + 932638.

It is an arithmetic number, because the mean of its divisors is an integer number (2643463578).

Almost surely, 277825915020 is an apocalyptic number.

77825915020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77825915020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95164688808).

77825915020 is an abundant number, since it is smaller than the sum of its proper divisors (112503462596).

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

77825915020 is a wasteful number, since it uses less digits than its factorization.

77825915020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88487 (or 88478 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 77825915020 in words is "seventy-seven billion, eight hundred twenty-five million, nine hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 907 980 1814 3628 4535 6349 9070 12698 18140 25396 31745 44443 63490 87557 88886 126980 175114 177772 222215 350228 437785 444430 612899 875570 888860 1225798 1751140 2451596 3064495 4290293 6128990 8580586 12257980 17161172 21451465 42902930 79414199 85805860 158828398 317656796 397070995 555899393 794141990 1111798786 1588283980 2223597572 2779496965 3891295751 5558993930 7782591502 11117987860 15565183004 19456478755 38912957510 77825915020