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1937850742060 = 2253137193437693
BaseRepresentation
bin11100001100110000111…
…001111011010100101100
320212020221011001102120221
4130030300321323110230
5223222204242221220
64042123014421124
7260001514346152
oct34146071732454
96766834042527
101937850742060
116879242514a2
1227369a3617a4
1311097a76092c
1469b147ab3d2
153561bc329aa
hex1c330e7b52c

1937850742060 has 96 divisors (see below), whose sum is σ = 4336658145792. Its totient is φ = 726078504960.

The previous prime is 1937850742039. The next prime is 1937850742103. The reversal of 1937850742060 is 602470587391.

It is a junction number, because it is equal to n+sod(n) for n = 1937850741989 and 1937850742007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208574 + ... + 4646266.

It is an arithmetic number, because the mean of its divisors is an integer number (45173522352).

It is a 1-persistent number, because it is pandigital, but 2⋅1937850742060 = 3875701484120 is not.

Almost surely, 21937850742060 is an apocalyptic number.

1937850742060 is a gapful number since it is divisible by the number (10) 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 1937850742060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168329072896).

1937850742060 is an abundant number, since it is smaller than the sum of its proper divisors (2398807403732).

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

1937850742060 is a wasteful number, since it uses less digits than its factorization.

1937850742060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437963 (or 437961 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 1937850742060 in words is "one trillion, nine hundred thirty-seven billion, eight hundred fifty million, seven hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 193 310 370 386 620 740 772 965 1147 1930 2294 3860 4588 5735 5983 7141 11470 11966 14282 22940 23932 28564 29915 35705 59830 71410 119660 142820 221371 437693 442742 875386 885484 1106855 1750772 2188465 2213710 4376930 4427420 8753860 13568483 16194641 27136966 32389282 54273932 64778564 67842415 80973205 84474749 135684830 161946410 168949498 271369660 323892820 337898996 422373745 502033871 844747490 1004067742 1689494980 2008135484 2510169355 2618717219 3125565713 5020338710 5237434438 6251131426 10040677420 10474868876 12502262852 13093586095 15627828565 26187172190 31255657130 52374344380 62511314260 96892537103 193785074206 387570148412 484462685515 968925371030 1937850742060