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1388952065232 = 243297261737997
BaseRepresentation
bin10100001101100011111…
…111101001010011010000
311220210010110100120002200
4110031203333221103100
5140224033212041412
62542024211043200
7202230345520464
oct24154377512320
94823113316080
101388952065232
1149606225a396
121a52312a0500
13a0c92a98174
144b32321c4a4
15261e32a29dc
hex14363fe94d0

1388952065232 has 120 divisors (see below), whose sum is σ = 3928814305416. Its totient is φ = 458023845888.

The previous prime is 1388952065219. The next prime is 1388952065233. The reversal of 1388952065232 is 2325602598831.

It is a happy number.

1388952065232 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 95 + 20 + 6 + 523 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 953716309056 + 435235756176 = 976584^2 + 659724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388952065233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36535258 + ... + 36573254.

Almost surely, 21388952065232 is an apocalyptic number.

1388952065232 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 1388952065232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964407152708).

1388952065232 is an abundant number, since it is smaller than the sum of its proper divisors (2539862240184).

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

1388952065232 is a wasteful number, since it uses less digits than its factorization.

1388952065232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40725 (or 40716 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1388952065232 in words is "one trillion, three hundred eighty-eight billion, nine hundred fifty-two million, sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 2617 3492 4656 5234 6984 7851 10468 13968 15702 20936 23553 31404 37997 41872 47106 62808 75994 94212 113991 125616 151988 188424 227982 253849 303976 341973 376848 455964 507698 607952 683946 761547 911928 1015396 1367892 1523094 1823856 2030792 2284641 2735784 3046188 3685709 4061584 4569282 5471568 6092376 7371418 9138564 11057127 12184752 14742836 18277128 22114254 29485672 33171381 36554256 44228508 58971344 66342762 88457016 99438149 132685524 176914032 198876298 265371048 298314447 397752596 530742096 596628894 795505192 894943341 1193257788 1591010384 1789886682 2386515576 3579773364 4773031152 7159546728 9645500453 14319093456 19291000906 28936501359 38582001812 57873002718 77164003624 86809504077 115746005436 154328007248 173619008154 231492010872 347238016308 462984021744 694476032616 1388952065232