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20768474300 = 22527153119379
BaseRepresentation
bin10011010101111001…
…011100010010111100
31222121101112210210212
4103111321130102330
5320013212134200
613312500251552
71333443055520
oct232571342274
958541483725
1020768474300
118898298152
1240373a0bb8
131c5c970262
1410103a5d80
15818467035
hex4d5e5c4bc

20768474300 has 72 divisors (see below), whose sum is σ = 51542117760. Its totient is φ = 7115601600.

The previous prime is 20768474291. The next prime is 20768474357. The reversal of 20768474300 is 347486702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062011 + ... + 1081389.

Almost surely, 220768474300 is an apocalyptic number.

20768474300 is a gapful number since it is divisible by the number (20) 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 20768474300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25771058880).

20768474300 is an abundant number, since it is smaller than the sum of its proper divisors (30773643460).

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

20768474300 is a wasteful number, since it uses less digits than its factorization.

20768474300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20931 (or 20924 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 20768474300 in words is "twenty billion, seven hundred sixty-eight million, four hundred seventy-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1531 3062 6124 7655 10717 15310 19379 21434 30620 38275 38758 42868 53585 76550 77516 96895 107170 135653 153100 193790 214340 267925 271306 387580 484475 535850 542612 678265 968950 1071700 1356530 1937900 2713060 3391325 6782650 13565300 29669249 59338498 118676996 148346245 207684743 296692490 415369486 593384980 741731225 830738972 1038423715 1483462450 2076847430 2966924900 4153694860 5192118575 10384237150 20768474300