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11357615380734 = 23271734991044167
BaseRepresentation
bin1010010101000110011010…
…1000010101100011111110
31111012202222202002022010200
42211101212220111203332
52442040344014140414
640053341054144330
72251363203566640
oct245214650254376
944182882068120
1011357615380734
113689812876547
1213352224b20a6
1364503194ac0c
142b39d6592890
1514a687082109
hexa5466a158fe

11357615380734 has 96 divisors (see below), whose sum is σ = 28342896192000. Its totient is φ = 3219806984256.

The previous prime is 11357615380721. The next prime is 11357615380789. The reversal of 11357615380734 is 43708351675311.

11357615380734 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 76 + 1 + 538 + 0 + 7 + 34 = 666.

11357615380734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10355119 + ... + 11399285.

It is an arithmetic number, because the mean of its divisors is an integer number (295238502000).

Almost surely, 211357615380734 is an apocalyptic number.

11357615380734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11357615380734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171448096000).

11357615380734 is an abundant number, since it is smaller than the sum of its proper divisors (16985280811266).

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

11357615380734 is a wasteful number, since it uses less digits than its factorization.

11357615380734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044854 (or 1044851 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 11357615380734 in words is "eleven trillion, three hundred fifty-seven billion, six hundred fifteen million, three hundred eighty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 499 519 998 1038 1211 1497 1557 2422 2994 3114 3493 3633 4491 6986 7266 8982 10479 10899 20958 21798 31437 62874 86327 172654 258981 517962 604289 776943 1044167 1208578 1553886 1812867 2088334 3132501 3625734 5438601 6265002 7309169 9397503 10877202 14618338 18795006 21927507 43855014 65782521 131565042 180640891 361281782 521039333 541922673 1042078666 1083845346 1264486237 1563117999 1625768019 2528972474 3126235998 3251536038 3647275331 3793458711 4689353997 7294550662 7586917422 9378707994 10941825993 11380376133 21883651986 22760752266 32825477979 65650955958 90139804609 180279609218 270419413827 540838827654 630978632263 811258241481 1261957264526 1622516482962 1892935896789 3785871793578 5678807690367 11357615380734