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2037305105628 = 2231338333407161
BaseRepresentation
bin11101101001011000110…
…110001101110011011100
321012202122021222120100220
4131221120312031303130
5231334400101340003
64155531450521340
7300122214445662
oct35513066156334
97182567876326
102037305105628
1171601a68a8a1
1228aa15436250
1311a16a1ca080
147086b196c32
1537edd0dc353
hex1da58d8dcdc

2037305105628 has 48 divisors (see below), whose sum is σ = 5120719170336. Its totient is φ = 626699381760.

The previous prime is 2037305105623. The next prime is 2037305105657. The reversal of 2037305105628 is 8265015037302.

It is a happy number.

It is a super-2 number, since 2×20373051056282 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2037305105628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2037305105623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105633 + ... + 2301528.

It is an arithmetic number, because the mean of its divisors is an integer number (106681649382).

Almost surely, 22037305105628 is an apocalyptic number.

It is an amenable number.

2037305105628 is an abundant number, since it is smaller than the sum of its proper divisors (3083414064708).

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

2037305105628 is a wasteful number, since it uses less digits than its factorization.

2037305105628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411014 (or 3411012 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2037305105628 in words is "two trillion, thirty-seven billion, three hundred five million, one hundred five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 3833 7666 11499 15332 22998 45996 49829 99658 149487 199316 298974 597948 3407161 6814322 10221483 13628644 20442966 40885932 44293093 88586186 132879279 177172372 265758558 531517116 13059648113 26119296226 39178944339 52238592452 78357888678 156715777356 169775425469 339550850938 509326276407 679101701876 1018652552814 2037305105628