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937990313001 = 3472153732
BaseRepresentation
bin11011010011001001001…
…01000101010000101001
310022200010011020221110000
431221210211011100221
5110332001010004001
61554523511413213
7124524163052400
oct15514445052051
93280104227400
10937990313001
11331888095295
12131957084209
136a5b5382061
1433582ad6637
15195ec88aa86
hexda64945429

937990313001 has 45 divisors (see below), whose sum is σ = 1630068037191. Its totient is φ = 535959598608.

The previous prime is 937990312993. The next prime is 937990313011. The reversal of 937990313001 is 100313099739.

The square root of 937990313001 is 968499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14707625625 + 923282687376 = 121275^2 + 960876^2 .

It is not a de Polignac number, because 937990313001 - 23 = 937990312993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (937990313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61007751 + ... + 61023123.

Almost surely, 2937990313001 is an apocalyptic number.

937990313001 is the 968499-th square number.

937990313001 is the 484250-th centered octagonal number.

It is an amenable number.

937990313001 is a deficient number, since it is larger than the sum of its proper divisors (692077724190).

937990313001 is an frugal number, since it uses more digits than its factorization.

937990313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30772 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 137781, while the sum is 45.

The spelling of 937990313001 in words is "nine hundred thirty-seven billion, nine hundred ninety million, three hundred thirteen thousand, one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 15373 46119 107611 138357 322833 415071 753277 968499 1245213 2259831 2905497 6779493 8716491 20338479 61015437 236329129 708987387 1654303903 2126962161 4962911709 6380886483 11580127321 14888735127 19142659449 34740381963 44666205381 104221145889 133998616143 312663437667 937990313001