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202074814680 = 23356127605849
BaseRepresentation
bin1011110000110010011…
…0001111100011011000
3201022120221102012011120
42330030212033203120
511302322123032210
6232455404325240
720412413404254
oct2741446174330
9638527365146
10202074814680
1178776a68182
12331b6543820
131609512c67b
149acd893264
1553ca6b4270
hex2f0c98f8d8

202074814680 has 64 divisors (see below), whose sum is σ = 616162572000. Its totient is φ = 53003228160.

The previous prime is 202074814663. The next prime is 202074814717. The reversal of 202074814680 is 86418470202.

202074814680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 13795605 + ... + 13810244.

Almost surely, 2202074814680 is an apocalyptic number.

202074814680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202074814680 is an abundant number, since it is smaller than the sum of its proper divisors (414087757320).

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

202074814680 is a wasteful number, since it uses less digits than its factorization.

202074814680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27605924 (or 27605920 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 202074814680 in words is "two hundred two billion, seventy-four million, eight hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 27605849 55211698 82817547 110423396 138029245 165635094 220846792 276058490 331270188 414087735 552116980 662540376 828175470 1104233960 1656350940 1683956789 3312701880 3367913578 5051870367 6735827156 8419783945 10103740734 13471654312 16839567890 20207481468 25259351835 33679135780 40414962936 50518703670 67358271560 101037407340 202074814680