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1037481411252 = 2231113739818123
BaseRepresentation
bin11110001100011101011…
…01100000001010110100
310200011220212022101201210
433012032231200022310
5113444230220130002
62112340135121420
7134645520330336
oct17061655401264
93604825271653
101037481411252
1136aaa2233a30
121490a2513270
1376aac6109b0
1438300325456
151bec209e96c
hexf18eb602b4

1037481411252 has 96 divisors (see below), whose sum is σ = 2847856919040. Its totient is φ = 289811537280.

The previous prime is 1037481411229. The next prime is 1037481411277. The reversal of 1037481411252 is 2521141847301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1037481411252.

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 31 ways as a sum of consecutive naturals, for example, 859063 + ... + 1677185.

It is an arithmetic number, because the mean of its divisors is an integer number (29665176240).

Almost surely, 21037481411252 is an apocalyptic number.

1037481411252 is a gapful number since it is divisible by the number (12) 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 1037481411252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423928459520).

1037481411252 is an abundant number, since it is smaller than the sum of its proper divisors (1810375507788).

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

1037481411252 is a wasteful number, since it uses less digits than its factorization.

1037481411252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818893 (or 818891 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 1037481411252 in words is "one trillion, thirty-seven billion, four hundred eighty-one million, four hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 739 858 1478 1716 2217 2956 4434 8129 8868 9607 16258 19214 24387 28821 32516 38428 48774 57642 97548 105677 115284 211354 317031 422708 634062 818123 1268124 1636246 2454369 3272492 4908738 8999353 9817476 10635599 17998706 21271198 26998059 31906797 35997412 42542396 53996118 63813594 107992236 116991589 127627188 233983178 350974767 467966356 604592897 701949534 1209185794 1403899068 1813778691 2418371588 3627557382 6650521867 7255114764 7859707661 13301043734 15719415322 19951565601 23579122983 26602087468 31438830644 39903131202 47158245966 79806262404 86456784271 94316491932 172913568542 259370352813 345827137084 518740705626 1037481411252