Search a number
-
+
2032171541334 = 2331125785915497
BaseRepresentation
bin11101100100100110110…
…111001110001101010110
321012021101112021111001000
4131210212313032031112
5231243341403310314
64153322224444130
7266551051044144
oct35444667161526
97167345244030
102032171541334
11713925946a80
12289a22179646
1311982c7a556c
1470501488594
1537cdc5a1209
hex1d926dce356

2032171541334 has 128 divisors (see below), whose sum is σ = 4951722585600. Its totient is φ = 612659773440.

The previous prime is 2032171541317. The next prime is 2032171541377. The reversal of 2032171541334 is 4331451712302.

2032171541334 is a `hidden beast` number, since 20 + 3 + 21 + 71 + 541 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 131125474 + ... + 131140970.

It is an arithmetic number, because the mean of its divisors is an integer number (38685332700).

Almost surely, 22032171541334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032171541334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475861292800).

2032171541334 is an abundant number, since it is smaller than the sum of its proper divisors (2919551044266).

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

2032171541334 is a wasteful number, since it uses less digits than its factorization.

2032171541334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2032171541334 in words is "two trillion, thirty-two billion, one hundred seventy-one million, five hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 257 297 514 594 771 859 1542 1718 2313 2577 2827 4626 5154 5654 6939 7731 8481 9449 13878 15462 15497 16962 18898 23193 25443 28347 30994 46386 46491 50886 56694 76329 85041 92982 139473 152658 170082 170467 220763 255123 278946 340934 418419 441526 510246 511401 662289 836838 1022802 1324578 1534203 1986867 2428393 3068406 3973734 3982729 4602609 4856786 5960601 7285179 7965458 9205218 11921202 11948187 13311923 14570358 21855537 23896374 26623846 35844561 39935769 43711074 43810019 65566611 71689122 79871538 87620038 107533683 119807307 131133222 131430057 146431153 215067366 239614614 262860114 292862306 359421921 394290171 439293459 718843842 788580342 878586918 1182870513 1317880377 2365741026 2635760754 3421164211 3953641131 6842328422 7907282262 10263492633 20526985266 30790477899 37632806321 61580955798 75265612642 92371433697 112898418963 184742867394 225796837926 338695256889 677390513778 1016085770667 2032171541334