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1982718036 = 22321323184199
BaseRepresentation
bin111011000101101…
…1110000001010100
312010011211111211100
41312023132001110
513030033434121
6524424310100
7100063553025
oct16613360124
95104744740
101982718036
11928213452
12474012330
13257a06150
1414b47ac4c
15b90ec026
hex762de054

1982718036 has 72 divisors (see below), whose sum is σ = 5632099200. Its totient is φ = 583539264.

The previous prime is 1982718019. The next prime is 1982718043. The reversal of 1982718036 is 6308172891.

It is a junction number, because it is equal to n+sod(n) for n = 1982717982 and 1982718000.

It is a congruent 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, 81336 + ... + 102863.

It is an arithmetic number, because the mean of its divisors is an integer number (78223600).

Almost surely, 21982718036 is an apocalyptic number.

It is an amenable number.

1982718036 is an abundant number, since it is smaller than the sum of its proper divisors (3649381164).

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

1982718036 is a wasteful number, since it uses less digits than its factorization.

1982718036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184245 (or 184240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1982718036 is about 44527.7221065709. The cubic root of 1982718036 is about 1256.2815617228.

The spelling of 1982718036 in words is "one billion, nine hundred eighty-two million, seven hundred eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 184199 368398 552597 736796 1105194 1657791 2210388 2394587 3315582 4236577 4789174 6631164 7183761 8473154 9578348 12709731 14367522 16946308 21551283 25419462 28735044 38129193 43102566 50838924 55075501 76258386 86205132 110151002 152516772 165226503 220302004 330453006 495679509 660906012 991359018 1982718036