Search a number
-
+
536406315522 = 2371110934730697
BaseRepresentation
bin1111100111001000100…
…11101101001000000010
31220021120002010011101220
413303210103231020002
532242030004044042
61050231024535510
753516435311050
oct7634423551002
91807502104356
10536406315522
11197541421170
1287b61481596
133b7768219cc
141bd684071d0
15de46da48ec
hex7ce44ed202

536406315522 has 128 divisors (see below), whose sum is σ = 1353737594880. Its totient is φ = 137645775360.

The previous prime is 536406315469. The next prime is 536406315551. The reversal of 536406315522 is 225513604635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17458878 + ... + 17489574.

It is an arithmetic number, because the mean of its divisors is an integer number (10576074960).

Almost surely, 2536406315522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536406315522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676868797440).

536406315522 is an abundant number, since it is smaller than the sum of its proper divisors (817331279358).

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

536406315522 is a wasteful number, since it uses less digits than its factorization.

536406315522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31176.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 536406315522 in words is "five hundred thirty-six billion, four hundred six million, three hundred fifteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 154 218 231 327 347 462 654 694 763 1041 1199 1526 2082 2289 2398 2429 3597 3817 4578 4858 7194 7287 7634 8393 11451 14574 16786 22902 25179 26719 30697 37823 50358 53438 61394 75646 80157 92091 113469 160314 184182 214879 226938 264761 337667 416053 429758 529522 644637 675334 794283 832106 1013001 1248159 1289274 1588566 2026002 2363669 2496318 2912371 3345973 4727338 5824742 6691946 7091007 8737113 10037919 10651859 14182014 17474226 20075838 21303718 23421811 31955577 36805703 46843622 63911154 70265433 73611406 74563013 110417109 117170449 140530866 149126026 220834218 223689039 234340898 257639921 351511347 447378078 515279842 703022694 772919763 820193143 1161052631 1545839526 1640386286 2322105262 2460579429 3483157893 4921158858 6966315786 8127368417 12771578941 16254736834 24382105251 25543157882 38314736823 48764210502 76629473646 89401052587 178802105174 268203157761 536406315522