Search a number
-
+
1287337137152 = 21011241474223
BaseRepresentation
bin10010101110111011010…
…001011101010000000000
311120001211201221100222212
4102232323101131100000
5132042431301342102
62423221114321252
7162002262056033
oct22567321352000
94501751840885
101287337137152
11456a58286990
121895b2729228
139451a826ca1
14464438dd01a
15237473bac52
hex12bbb45d400

1287337137152 has 88 divisors (see below), whose sum is σ = 2819018877312. Its totient is φ = 582723993600.

The previous prime is 1287337137041. The next prime is 1287337137181. The reversal of 1287337137152 is 2517317337821.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×12873371371522 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1287337137152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2477513 + ... + 2951735.

It is an arithmetic number, because the mean of its divisors is an integer number (32034305424).

Almost surely, 21287337137152 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 1287337137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409509438656).

1287337137152 is an abundant number, since it is smaller than the sum of its proper divisors (1531681740160).

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

1287337137152 is a wasteful number, since it uses less digits than its factorization.

1287337137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474495 (or 474477 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 50.

The spelling of 1287337137152 in words is "one trillion, two hundred eighty-seven billion, three hundred thirty-seven million, one hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 241 256 352 482 512 704 964 1024 1408 1928 2651 2816 3856 5302 5632 7712 10604 11264 15424 21208 30848 42416 61696 84832 123392 169664 246784 339328 474223 678656 948446 1357312 1896892 2714624 3793784 5216453 7587568 10432906 15175136 20865812 30350272 41731624 60700544 83463248 114287743 121401088 166926496 228575486 242802176 333852992 457150972 485604352 667705984 914301944 1257165173 1335411968 1828603888 2514330346 2670823936 3657207776 5028660692 5341647872 7314415552 10057321384 14628831104 20114642768 29257662208 40229285536 58515324416 80458571072 117030648832 160917142144 321834284288 643668568576 1287337137152