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1013902920544 = 253119316193271
BaseRepresentation
bin11101100000100010101…
…00101100101101100000
310120221001122012222002011
432300101110230231200
5113102433121424134
62053440334202304
7133152313425043
oct16602124545540
93527048188064
101013902920544
11360aa2847978
12144602053394
13747c2747347
1437104a8cc5a
151b5920c0264
hexec1152cb60

1013902920544 has 96 divisors (see below), whose sum is σ = 2073101506560. Its totient is φ = 487605657600.

The previous prime is 1013902920529. The next prime is 1013902920551. The reversal of 1013902920544 is 4450292093101.

It is a junction number, because it is equal to n+sod(n) for n = 1013902920497 and 1013902920506.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 309965629 + ... + 309968899.

It is an arithmetic number, because the mean of its divisors is an integer number (21594807360).

Almost surely, 21013902920544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013902920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036550753280).

1013902920544 is an abundant number, since it is smaller than the sum of its proper divisors (1059198586016).

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

1013902920544 is a wasteful number, since it uses less digits than its factorization.

1013902920544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1013902920544 in words is "one trillion, thirteen billion, nine hundred two million, nine hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 193 248 386 496 772 992 1544 1619 3088 3238 3271 5983 6176 6476 6542 11966 12952 13084 23932 25904 26168 47864 50189 51808 52336 95728 100378 101401 104672 191456 200756 202802 312467 401512 405604 624934 631303 803024 811208 1249868 1262606 1606048 1622416 2499736 2525212 3244832 4999472 5050424 5295749 9686477 9998944 10100848 10591498 19372954 19570393 20201696 21182996 38745908 39140786 42365992 77491816 78281572 84731984 154983632 156563144 164168219 169463968 309967264 313126288 328336438 626252576 656672876 1022079557 1313345752 2044159114 2626691504 4088318228 5253383008 8176636456 16353272912 31684466267 32706545824 63368932534 126737865068 253475730136 506951460272 1013902920544