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66769852520 = 2357472107951
BaseRepresentation
bin111110001011110010…
…110001100001101000
320101100022020221112202
4332023302301201220
52043221040240040
650401301355332
74552422245030
oct761362614150
9211308227482
1066769852520
11263539284a8
1210b35108b48
1363b1181997
143335a208c0
151b0bc5a015
hexf8bcb1868

66769852520 has 96 divisors (see below), whose sum is σ = 175426318080. Its totient is φ = 22405238400.

The previous prime is 66769852519. The next prime is 66769852529. The reversal of 66769852520 is 2525896766.

66769852520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (66769852529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564545 + ... + 672495.

It is an arithmetic number, because the mean of its divisors is an integer number (1827357480).

Almost surely, 266769852520 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 66769852520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87713159040).

66769852520 is an abundant number, since it is smaller than the sum of its proper divisors (108656465560).

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

66769852520 is a wasteful number, since it uses less digits than its factorization.

66769852520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108063 (or 108012 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 66769852520 in words is "sixty-six billion, seven hundred sixty-nine million, eight hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2209 2632 3290 4418 6580 8836 11045 13160 15463 17672 22090 30926 44180 61852 77315 88360 107951 123704 154630 215902 309260 431804 539755 618520 755657 863608 1079510 1511314 2159020 3022628 3778285 4318040 5073697 6045256 7556570 10147394 15113140 20294788 25368485 30226280 35515879 40589576 50736970 71031758 101473940 142063516 177579395 202947880 238463759 284127032 355158790 476927518 710317580 953855036 1192318795 1420635160 1669246313 1907710072 2384637590 3338492626 4769275180 6676985252 8346231565 9538550360 13353970504 16692463130 33384926260 66769852520